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16561399296 = 293135315649
BaseRepresentation
bin11110110110010001…
…01110011000000000
31120202012012020212010
433123020232120000
5232404204234141
611335212132520
71124256366651
oct173310563000
946665166763
1016561399296
117029529462
123262467140
13173c188170
14b3174b528
1566de3b416
hex3db22e600

16561399296 has 160 divisors (see below), whose sum is σ = 48414088800. Its totient is φ = 4999348224.

The previous prime is 16561399277. The next prime is 16561399307. The reversal of 16561399296 is 69299316561.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050480 + ... + 1066128.

It is an arithmetic number, because the mean of its divisors is an integer number (302588055).

Almost surely, 216561399296 is an apocalyptic number.

16561399296 is a gapful number since it is divisible by the number (16) 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 16561399296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24207044400).

16561399296 is an abundant number, since it is smaller than the sum of its proper divisors (31852689504).

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

16561399296 is a wasteful number, since it uses less digits than its factorization.

16561399296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15736 (or 15720 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 57.

The spelling of 16561399296 in words is "sixteen billion, five hundred sixty-one million, three hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 256 312 318 384 416 424 512 624 636 689 768 832 848 1248 1272 1378 1536 1664 1696 2067 2496 2544 2756 3328 3392 4134 4992 5088 5512 6656 6784 8268 9984 10176 11024 13568 15649 16536 19968 20352 22048 27136 31298 33072 40704 44096 46947 62596 66144 81408 88192 93894 125192 132288 176384 187788 203437 250384 264576 352768 375576 406874 500768 529152 610311 751152 813748 829397 1001536 1058304 1220622 1502304 1627496 1658794 2003072 2441244 2488191 3004608 3254992 3317588 4006144 4882488 4976382 6009216 6509984 6635176 8012288 9764976 9952764 10782161 12018432 13019968 13270352 19529952 19905528 21564322 24036864 26039936 26540704 32346483 39059904 39811056 43128644 52079872 53081408 64692966 78119808 79622112 86257288 104159744 106162816 129385932 156239616 159244224 172514576 212325632 258771864 312479232 318488448 345029152 424651264 517543728 636976896 690058304 1035087456 1273953792 1380116608 2070174912 2760233216 4140349824 5520466432 8280699648 16561399296