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79994000112 = 24313436414651
BaseRepresentation
bin100101010000000000…
…0111001001011110000
321122110220211020200220
41022200000321023300
52302311431000422
6100425421013040
75531216532135
oct1124000711360
9248426736626
1079994000112
1130a1a5892a4
12136059b4180
13770ab13ba0
143c2c05658c
152132bd5e5c
hex12a00392f0

79994000112 has 160 divisors (see below), whose sum is σ = 228127232256. Its totient is φ = 23998464000.

The previous prime is 79994000087. The next prime is 79994000143. The reversal of 79994000112 is 21100049997.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17196987 + ... + 17201637.

Almost surely, 279994000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79994000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114063616128).

79994000112 is an abundant number, since it is smaller than the sum of its proper divisors (148133232144).

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

79994000112 is a wasteful number, since it uses less digits than its factorization.

79994000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 79994000112 in words is "seventy-nine billion, nine hundred ninety-four million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 641 688 1032 1118 1282 1677 1923 2064 2236 2564 3354 3846 4472 4651 5128 6708 7692 8333 8944 9302 10256 13416 13953 15384 16666 18604 24999 26832 27563 27906 30768 33332 37208 49998 55126 55812 60463 66664 74416 82689 99996 110252 111624 120926 133328 165378 181389 199992 199993 220504 223248 241852 330756 358319 362778 399984 399986 441008 483704 599979 661512 716638 725556 799972 967408 1074957 1199958 1323024 1433276 1451112 1599944 2149914 2399916 2599909 2866552 2902224 2981291 3199888 4299828 4799832 5199818 5733104 5962582 7799727 8599656 8943873 9599664 10399636 11925164 15599454 17199312 17887746 20799272 23850328 31198908 35775492 38756783 41598544 47700656 62397816 71550984 77513566 116270349 124795632 128195513 143101968 155027132 232540698 256391026 310054264 384586539 465081396 512782052 620108528 769173078 930162792 1025564104 1538346156 1666541669 1860325584 2051128208 3076692312 3333083338 4999625007 6153384624 6666166676 9999250014 13332333352 19998500028 26664666704 39997000056 79994000112