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102923444008 = 23711371944927
BaseRepresentation
bin101111111011010110…
…1110001111100101000
3100211122220121200111201
41133312231301330220
53141241400202013
6115140554333544
710302352560610
oct1376655617450
9324586550451
10102923444008
113a716667930
1217b44a2a2b4
13992339b378
144da5419a40
152a25c0a3dd
hex17f6b71f28

102923444008 has 64 divisors (see below), whose sum is σ = 240670310400. Its totient is φ = 40088368320.

The previous prime is 102923444003. The next prime is 102923444047. The reversal of 102923444008 is 800444329201.

It is a super-2 number, since 2×1029234440082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102923444003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2268441 + ... + 2313367.

It is an arithmetic number, because the mean of its divisors is an integer number (3760473600).

Almost surely, 2102923444008 is an apocalyptic number.

It is an amenable number.

102923444008 is an abundant number, since it is smaller than the sum of its proper divisors (137746866392).

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

102923444008 is a wasteful number, since it uses less digits than its factorization.

102923444008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48670 (or 48666 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 102923444008 in words is "one hundred two billion, nine hundred twenty-three million, four hundred forty-four thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3719 7438 14876 26033 29752 40909 44927 52066 81818 89854 104132 163636 179708 208264 286363 314489 327272 359416 494197 572726 628978 988394 1145452 1257956 1976788 2290904 2515912 3459379 3953576 6918758 13837516 27675032 167083513 334167026 668334052 1169584591 1336668104 1837918643 2339169182 3675837286 4678338364 7351674572 9356676728 12865430501 14703349144 25730861002 51461722004 102923444008