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172968381054 = 23273074471547
BaseRepresentation
bin1010000100010110111…
…0000000101001111110
3121112110110112011102100
42201011232000221332
510313214401143204
6211243252405530
715332213660220
oct2410556005176
9545413464370
10172968381054
11673a0161857
12296329168a6
1313406c1a791
14852bdac410
154775245a39
hex2845b80a7e

172968381054 has 48 divisors (see below), whose sum is σ = 429697876608. Its totient is φ = 49258550736.

The previous prime is 172968381049. The next prime is 172968381071. The reversal of 172968381054 is 450183869271.

172968381054 is a `hidden beast` number, since 172 + 96 + 8 + 381 + 0 + 5 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2197092 + ... + 2274455.

It is an arithmetic number, because the mean of its divisors is an integer number (8952039096).

It is a 2-persistent number, because it is pandigital, and so is 2⋅172968381054 = 345936762108, but 3⋅172968381054 = 518905143162 is not.

Almost surely, 2172968381054 is an apocalyptic number.

172968381054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

172968381054 is an abundant number, since it is smaller than the sum of its proper divisors (256729495554).

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

172968381054 is a wasteful number, since it uses less digits than its factorization.

172968381054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471869 (or 4471866 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 172968381054 in words is "one hundred seventy-two billion, nine hundred sixty-eight million, three hundred eighty-one thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 307 614 921 1842 2149 2763 4298 5526 6447 12894 19341 38682 4471547 8943094 13414641 26829282 31300829 40243923 62601658 80487846 93902487 187804974 281707461 563414922 1372764929 2745529858 4118294787 8236589574 9609354503 12354884361 19218709006 24709768722 28828063509 57656127018 86484190527 172968381054