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79013461296 = 243711193111071
BaseRepresentation
bin100100110010110010…
…0011011110100110000
321112221120202201022110
41021211210123310300
52243304421230141
6100144232405320
75465012224320
oct1114544336460
9245846681273
1079013461296
1130567047a40
1213391546840
1375b292bac3
143b77b33280
1520c6a9ae16
hex126591bd30

79013461296 has 160 divisors (see below), whose sum is σ = 254639702016. Its totient is φ = 20510496000.

The previous prime is 79013461259. The next prime is 79013461343. The reversal of 79013461296 is 69216431097.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7131441 + ... + 7142511.

Almost surely, 279013461296 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 79013461296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127319851008).

79013461296 is an abundant number, since it is smaller than the sum of its proper divisors (175626240720).

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

79013461296 is a wasteful number, since it uses less digits than its factorization.

79013461296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 79013461296 in words is "seventy-nine billion, thirteen million, four hundred sixty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 1931 3696 3862 5793 7724 11071 11586 13517 15448 21241 22142 23172 27034 30896 33213 40551 42482 44284 46344 54068 63723 66426 77497 81102 84964 88568 92688 108136 121781 127446 132852 148687 154994 162204 169928 177136 216272 232491 243562 254892 265704 297374 309988 324408 339856 365343 446061 464982 487124 509784 531408 594748 619976 648816 730686 852467 892122 929964 974248 1019568 1189496 1239952 1461372 1704934 1784244 1859928 1948496 2378992 2557401 2922744 3409868 3568488 3719856 5114802 5845488 6819736 7136976 10229604 13639472 20459208 21378101 40918416 42756202 64134303 85512404 128268606 149646707 171024808 235159111 256537212 299293414 342049616 448940121 470318222 513074424 598586828 705477333 897880242 940636444 1026148848 1197173656 1410954666 1646113777 1795760484 1881272888 2394347312 2821909332 3292227554 3591520968 3762545776 4938341331 5643818664 6584455108 7183041936 9876682662 11287637328 13168910216 19753365324 26337820432 39506730648 79013461296