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102534954422958 = 2336739313720887
BaseRepresentation
bin10111010100000101000111…
…100010010001001010101110
3111110001020122021021202111000
4113110011013202101022232
5101414413041313013313
61002023524025341130
730411622520206431
oct2724050742211256
9443036567252430
10102534954422958
112a741914766812
12b5bbb649377a6
13452a00a481895
141b46a0ad29818
15bcc281e5b673
hex5d41478912ae

102534954422958 has 64 divisors (see below), whose sum is σ = 231262485189120. Its totient is φ = 33667290873216.

The previous prime is 102534954422947. The next prime is 102534954422993. The reversal of 102534954422958 is 859224459435201.

102534954422958 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 34 + 9 + 544 + 2 + 2 + 9 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102534954422895 and 102534954422904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141873991 + ... + 142594877.

It is an arithmetic number, because the mean of its divisors is an integer number (3613476331080).

Almost surely, 2102534954422958 is an apocalyptic number.

102534954422958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

102534954422958 is an abundant number, since it is smaller than the sum of its proper divisors (128727530766162).

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

102534954422958 is a wasteful number, since it uses less digits than its factorization.

102534954422958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760278 (or 760272 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 102534954422958 in words is "one hundred two trillion, five hundred thirty-four billion, nine hundred fifty-four million, four hundred twenty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 39313 78626 117939 235878 353817 707634 720887 1061451 1441774 2122902 2162661 2633971 4325322 5267942 6487983 7901913 12975966 15803826 19463949 23705739 38927898 47411478 48299429 71117217 96598858 142234434 144898287 289796574 434694861 869389722 1304084583 2608169166 28340230631 56680461262 85020691893 170041383786 255062075679 510124151358 765186227037 1530372454074 1898795452277 3797590904554 5696386356831 11392772713662 17089159070493 34178318140986 51267477211479 102534954422958