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67985658976 = 2567131242059
BaseRepresentation
bin111111010100010000…
…101101010001100000
320111111001000022110111
4333110100231101200
52103213312041401
651122052341104
74624514365204
oct772420552140
9214431008414
1067985658976
112691814a924
1211214314794
13654601b8a1
14340d2a6b04
151b7d868e51
hexfd442d460

67985658976 has 48 divisors (see below), whose sum is σ = 136882025280. Its totient is φ = 33229722240.

The previous prime is 67985658973. The next prime is 67985658989.

67985658976 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67985658971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159835 + ... + 401893.

It is an arithmetic number, because the mean of its divisors is an integer number (2851708860).

Almost surely, 267985658976 is an apocalyptic number.

It is an amenable number.

67985658976 is an abundant number, since it is smaller than the sum of its proper divisors (68896366304).

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

67985658976 is a wasteful number, since it uses less digits than its factorization.

67985658976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242267 (or 242259 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 76.

The spelling of 67985658976 in words is "sixty-seven billion, nine hundred eighty-five million, six hundred fifty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 67 131 134 262 268 524 536 1048 1072 2096 2144 4192 8777 17554 35108 70216 140432 242059 280864 484118 968236 1936472 3872944 7745888 16217953 31709729 32435906 63419458 64871812 126838916 129743624 253677832 259487248 507355664 518974496 1014711328 2124551843 4249103686 8498207372 16996414744 33992829488 67985658976