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245355040152 = 233241358323197
BaseRepresentation
bin1110010010000001001…
…1001100110110011000
3212110022012210110002100
43210200103030312120
513004441342241102
6304414202003400
723504061300525
oct3444023146630
9773265713070
10245355040152
1195066584162
123b674aa6560
131a1a195c641
14bc3797014c
1565b0144a1c
hex39204ccd98

245355040152 has 96 divisors (see below), whose sum is σ = 680929966080. Its totient is φ = 79764549120.

The previous prime is 245355040069. The next prime is 245355040187. The reversal of 245355040152 is 251040553542.

245355040152 is a `hidden beast` number, since 2 + 4 + 53 + 550 + 4 + 0 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10565418 + ... + 10588614.

It is an arithmetic number, because the mean of its divisors is an integer number (7093020480).

Almost surely, 2245355040152 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 245355040152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340464983040).

245355040152 is an abundant number, since it is smaller than the sum of its proper divisors (435574925928).

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

245355040152 is a wasteful number, since it uses less digits than its factorization.

245355040152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26833 (or 26826 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 245355040152 its reverse (251040553542), we get a palindrome (496395593694).

The spelling of 245355040152 in words is "two hundred forty-five billion, three hundred fifty-five million, forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3583 7166 10749 14332 21498 23197 28664 32247 42996 46394 64494 69591 85992 92788 128988 139182 146903 185576 208773 257976 278364 293806 417546 440709 556728 587612 835092 881418 951077 1175224 1322127 1670184 1762836 1902154 2644254 2853231 3525672 3804308 5288508 5706462 7608616 8559693 10577016 11412924 17119386 22825848 34238772 68477544 83114851 166229702 249344553 332459404 498689106 664918808 748033659 997378212 1496067318 1994756424 2992134636 3407708891 5984269272 6815417782 10223126673 13630835564 20446253346 27261671128 30669380019 40892506692 61338760038 81785013384 122677520076 245355040152