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245054435315112 = 23341037734749751
BaseRepresentation
bin110111101110000000101110…
…100100010100110110101000
31012010122222022221022201110000
4313232000232210110312220
5224104432440420040422
62225104241540023000
7102421412231601213
oct6756005644246650
91163588287281400
10245054435315112
117109a0031a7905
1223599236691a60
13a6976c3536917
1444729ab28477a
151d4e665434cac
hexdee02e914da8

245054435315112 has 160 divisors (see below), whose sum is σ = 693939907140480. Its totient is φ = 80787091824000.

The previous prime is 245054435315093. The next prime is 245054435315141. The reversal of 245054435315112 is 211513534450542.

245054435315112 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 5 + 443 + 53 + 151 + 1 + 2 = 666.

It is a super-2 number, since 2×2450544353151122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49218237 + ... + 53967987.

It is an arithmetic number, because the mean of its divisors is an integer number (4337124419628).

Almost surely, 2245054435315112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245054435315112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346969953570240).

245054435315112 is an abundant number, since it is smaller than the sum of its proper divisors (448885471825368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245054435315112 is a wasteful number, since it uses less digits than its factorization.

245054435315112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750645 (or 4750632 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 245054435315112 its reverse (211513534450542), we get a palindrome (456567969765654).

The spelling of 245054435315112 in words is "two hundred forty-five trillion, fifty-four billion, four hundred thirty-five million, three hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 773 824 927 1236 1546 1854 2319 2472 2781 3092 3708 4638 5562 6184 6957 7416 8343 9276 11124 13914 16686 18552 20871 22248 27828 33372 41742 55656 62613 66744 79619 83484 125226 159238 166968 238857 250452 318476 477714 500904 636952 716571 955428 1433142 1910856 2149713 2866284 4299426 4749751 5732568 6449139 8598852 9499502 12898278 14249253 17197704 18999004 25796556 28498506 37998008 42747759 51593112 56997012 85495518 113994024 128243277 170991036 256486554 341982072 384729831 489224353 512973108 769459662 978448706 1025946216 1467673059 1538919324 1956897412 2935346118 3077838648 3671557523 3913794824 4403019177 5870692236 7343115046 8806038354 11014672569 11741384472 13209057531 14686230092 17612076708 22029345138 26418115062 29372460184 33044017707 35224153416 39627172593 44058690276 52836230124 66088035414 79254345186 88117380552 99132053121 105672460248 132176070828 158508690372 198264106242 264352141656 297396159363 317017380744 378170424869 396528212484 594792318726 756340849738 793056424968 1134511274607 1189584637452 1512681699476 2269022549214 2379169274904 3025363398952 3403533823821 4538045098428 6807067647642 9076090196856 10210601471463 13614135295284 20421202942926 27228270590568 30631804414389 40842405885852 61263608828778 81684811771704 122527217657556 245054435315112