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68277438152964 = 22322417869690889
BaseRepresentation
bin11111000011001000101000…
…11100101000000100000100
322221202021000001121100212100
433201210110130220010010
532422124143131343324
6401114115544552100
720244611365355535
oct1741442434500404
9287667001540770
1068277438152964
111a834331936a67
1277a875ba82630
132c136c4c215b1
1412c09078c268c
157d60bd5b54c9
hex3e1914728104

68277438152964 has 36 divisors (see below), whose sum is σ = 173306332779580. Its totient is φ = 22664709757440.

The previous prime is 68277438152947. The next prime is 68277438152971. The reversal of 68277438152964 is 46925183477286.

68277438152964 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 7 + 4 + 38 + 1 + 529 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61009065288900 + 7268372864064 = 7810830^2 + 2695992^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 68277438152892 and 68277438152901.

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 11 ways as a sum of consecutive naturals, for example, 3934836769 + ... + 3934854120.

Almost surely, 268277438152964 is an apocalyptic number.

It is an amenable number.

68277438152964 is an abundant number, since it is smaller than the sum of its proper divisors (105028894626616).

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

68277438152964 is a wasteful number, since it uses less digits than its factorization.

68277438152964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869691140 (or 7869691135 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 68277438152964 in words is "sixty-eight trillion, two hundred seventy-seven billion, four hundred thirty-eight million, one hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 7869690889 15739381778 23609072667 31478763556 47218145334 70827218001 94436290668 141654436002 283308872004 1896595504249 3793191008498 5689786512747 7586382016996 11379573025494 17069359538241 22759146050988 34138719076482 68277438152964