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4048681112832 = 28322776130517
BaseRepresentation
bin111010111010101000001…
…100110001010100000000
3112100001100112210110111010
4322322220030301110000
51012313144331102312
612335534411120520
7565336043432556
oct72725014612400
915301315713433
104048681112832
111321043a37224
125547b3143140
13234a34549745
14ddd58833bd6
15704aeb7d93c
hex3aea8331500

4048681112832 has 144 divisors (see below), whose sum is σ = 10837441806912. Its totient is φ = 1341805608960.

The previous prime is 4048681112821. The next prime is 4048681112867. The reversal of 4048681112832 is 2382111868404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132654438 + ... + 132684954.

It is an arithmetic number, because the mean of its divisors is an integer number (75260012548).

Almost surely, 24048681112832 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 4048681112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418720903456).

4048681112832 is an abundant number, since it is smaller than the sum of its proper divisors (6788760694080).

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

4048681112832 is a wasteful number, since it uses less digits than its factorization.

4048681112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31524 (or 31510 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 4048681112832 in words is "four trillion, forty-eight billion, six hundred eighty-one million, one hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 761 768 908 1362 1522 1816 2283 2724 3044 3632 4566 5448 6088 7264 9132 10896 12176 14528 18264 21792 24352 29056 30517 36528 43584 48704 58112 61034 73056 87168 91551 97408 122068 146112 172747 174336 183102 194816 244136 292224 345494 366204 488272 518241 584448 690988 732408 976544 1036482 1381976 1464816 1953088 2072964 2763952 2929632 3906176 4145928 5527904 5859264 6927359 7812352 8291856 11055808 11718528 13854718 16583712 20782077 22111616 23223437 23437056 27709436 33167424 41564154 44223232 46446874 55418872 66334848 69670311 83128308 92893748 110837744 132669696 139340622 166256616 185787496 221675488 278681244 332513232 371574992 443350976 557362488 665026464 743149984 886701952 1114724976 1330052928 1486299968 1773403904 2229449952 2660105856 2972599936 4458899904 5271720199 5320211712 5945199872 8917799808 10543440398 15815160597 17835599616 21086880796 31630321194 42173761592 63260642388 84347523184 126521284776 168695046368 253042569552 337390092736 506085139104 674780185472 1012170278208 1349560370944 2024340556416 4048681112832