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102925472864 = 2531438212939
BaseRepresentation
bin101111111011011010…
…1100001010001100000
3100211200001102202120112
41133312311201101200
53141242410112424
6115141110030452
710302406040624
oct1376665412140
9324601382515
10102925472864
113a717823175
1217b45648428
13992392b986
144da57c7184
152a25eab60e
hex17f6d61460

102925472864 has 96 divisors (see below), whose sum is σ = 214369182720. Its totient is φ = 48568665600.

The previous prime is 102925472851. The next prime is 102925472879. The reversal of 102925472864 is 468274529201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35019107 + ... + 35022045.

It is an arithmetic number, because the mean of its divisors is an integer number (2233012320).

Almost surely, 2102925472864 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 102925472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107184591360).

102925472864 is an abundant number, since it is smaller than the sum of its proper divisors (111443709856).

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

102925472864 is a wasteful number, since it uses less digits than its factorization.

102925472864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 102925472864 in words is "one hundred two billion, nine hundred twenty-five million, four hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 86 124 172 248 344 496 688 821 992 1333 1376 1642 2666 2939 3284 5332 5878 6568 10664 11756 13136 21328 23512 25451 26272 35303 42656 47024 50902 70606 91109 94048 101804 126377 141212 182218 203608 252754 282424 364436 407216 505508 564848 728872 814432 1011016 1094393 1129696 1457744 2022032 2188786 2412919 2915488 3917687 4044064 4377572 4825838 7835374 8755144 9651676 15670748 17510288 19303352 31341496 35020576 38606704 62682992 74800489 77213408 103755517 125365984 149600978 207511034 299201956 415022068 598403912 830044136 1196807824 1660088272 2393615648 3216421027 3320176544 6432842054 12865684108 25731368216 51462736432 102925472864