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6979768704 = 2735224401
BaseRepresentation
bin1101000000000011…
…01101000110000000
3200000102122222200000
412200001231012000
5103243310044304
63112332400000
7334652024616
oct64001550600
920012588600
106979768704
112a61996597
121429616000
1387307146c
144a2db16b6
152acb6e939
hex1a006d180

6979768704 has 96 divisors (see below), whose sum is σ = 20828993640. Its totient is φ = 2326579200.

The previous prime is 6979768703. The next prime is 6979768709. The reversal of 6979768704 is 4078679796.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×69797687042 = 97434342322675679232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6979768703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81097 + ... + 143304.

Almost surely, 26979768704 is an apocalyptic number.

6979768704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6979768704 is an abundant number, since it is smaller than the sum of its proper divisors (13849224936).

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

6979768704 is an equidigital number, since it uses as much as digits as its factorization.

6979768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224430 (or 224406 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The square root of 6979768704 is about 83545.0100484763. The cubic root of 6979768704 is about 1911.0864960393.

The spelling of 6979768704 in words is "six billion, nine hundred seventy-nine million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 224401 448802 673203 897604 1346406 1795208 2019609 2692812 3590416 4039218 5385624 6058827 7180832 8078436 10771248 12117654 14361664 16156872 18176481 21542496 24235308 28723328 32313744 36352962 43084992 48470616 54529443 64627488 72705924 86169984 96941232 109058886 129254976 145411848 193882464 218117772 258509952 290823696 387764928 436235544 581647392 775529856 872471088 1163294784 1744942176 2326589568 3489884352 6979768704