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68090316956 = 22292471273391
BaseRepresentation
bin111111011010011111…
…111100100010011100
320111202022221111012222
4333122133330202130
52103422110120311
651140311444512
74630225100414
oct773237744234
9214668844188
1068090316956
1126971232a22
1211243386738
13656190359c
14341d14b644
151b87b3dadb
hexfda7fc89c

68090316956 has 72 divisors (see below), whose sum is σ = 127064211456. Its totient is φ = 31909066560.

The previous prime is 68090316941. The next prime is 68090316989. The reversal of 68090316956 is 65961309086.

It is a super-2 number, since 2×680903169562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68090316898 and 68090316907.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20078021 + ... + 20081411.

Almost surely, 268090316956 is an apocalyptic number.

It is an amenable number.

68090316956 is a deficient number, since it is larger than the sum of its proper divisors (58973894500).

68090316956 is a wasteful number, since it uses less digits than its factorization.

68090316956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The spelling of 68090316956 in words is "sixty-eight billion, ninety million, three hundred sixteen thousand, nine hundred fifty-six".

Divisors: 1 2 4 29 47 58 94 116 127 188 254 508 841 1363 1682 2726 3364 3391 3683 5452 5969 6782 7366 11938 13564 14732 23876 39527 79054 98339 106807 158108 159377 173101 196678 213614 318754 346202 393356 427228 430657 637508 692404 861314 1722628 2851831 4621933 5019929 5703662 9243866 10039858 11407324 12489053 18487732 20079716 20240879 24978106 40481758 49956212 80963516 134036057 268072114 362182537 536144228 586985491 724365074 1173970982 1448730148 2347941964 17022579239 34045158478 68090316956