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79094928672 = 25323131727947
BaseRepresentation
bin100100110101001101…
…1001101010100100000
321120011021001200112200
41021222123031110200
52243441300204142
6100200302453200
75500021541454
oct1115233152440
9246137050480
1079094928672
11305a9030651
12133b4894200
1375c6784056
143b8489c664
1520cdcde64c
hex126a6cd520

79094928672 has 144 divisors (see below), whose sum is σ = 232922656512. Its totient is φ = 25433095680.

The previous prime is 79094928613. The next prime is 79094928683. The reversal of 79094928672 is 27682949097.

79094928672 is a `hidden beast` number, since 79 + 0 + 9 + 492 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2816203 + ... + 2844149.

It is an arithmetic number, because the mean of its divisors is an integer number (1617518448).

Almost surely, 279094928672 is an apocalyptic number.

79094928672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79094928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116461328256).

79094928672 is an abundant number, since it is smaller than the sum of its proper divisors (153827727840).

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

79094928672 is a wasteful number, since it uses less digits than its factorization.

79094928672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28311 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 79094928672 in words is "seventy-nine billion, ninety-four million, nine hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 317 372 496 558 634 744 951 992 1116 1268 1488 1902 2232 2536 2853 2976 3804 4464 5072 5706 7608 8928 9827 10144 11412 15216 19654 22824 27947 29481 30432 39308 45648 55894 58962 78616 83841 88443 91296 111788 117924 157232 167682 176886 223576 235848 251523 314464 335364 353772 447152 471696 503046 670728 707544 866357 894304 943392 1006092 1341456 1415088 1732714 2012184 2599071 2682912 2830176 3465428 4024368 5198142 6930856 7797213 8048736 8859199 10396284 13861712 15594426 17718398 20792568 26577597 27723424 31188852 35436796 41585136 53155194 62377704 70873592 79732791 83170272 106310388 124755408 141747184 159465582 212620776 249510816 274635169 283494368 318931164 425241552 549270338 637862328 823905507 850483104 1098540676 1275724656 1647811014 2197081352 2471716521 2551449312 3295622028 4394162704 4943433042 6591244056 8788325408 9886866084 13182488112 19773732168 26364976224 39547464336 79094928672