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78739968672 = 253391134223
BaseRepresentation
bin100100101010101000…
…1001001001010100000
321112020112010211222000
41021111101021022200
52242224412444142
6100101142444000
75455151455611
oct1112521111240
9245215124860
1078739968672
1130436728982
1213315a33600
13756b082351
143b4d69dc08
1520aca7614c
hex12554492a0

78739968672 has 48 divisors (see below), whose sum is σ = 229658244480. Its totient is φ = 26246655936.

The previous prime is 78739968649. The next prime is 78739968683. The reversal of 78739968672 is 27686993787.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 78739968672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45566248 + ... + 45567975.

It is an arithmetic number, because the mean of its divisors is an integer number (4784546760).

Almost surely, 278739968672 is an apocalyptic number.

78739968672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78739968672 is an abundant number, since it is smaller than the sum of its proper divisors (150918275808).

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

78739968672 is a wasteful number, since it uses less digits than its factorization.

78739968672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91134242 (or 91134228 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 78739968672 in words is "seventy-eight billion, seven hundred thirty-nine million, nine hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 91134223 182268446 273402669 364536892 546805338 729073784 820208007 1093610676 1458147568 1640416014 2187221352 2460624021 2916295136 3280832028 4374442704 4921248042 6561664056 8748885408 9842496084 13123328112 19684992168 26246656224 39369984336 78739968672