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10016897072 = 2471323319649
BaseRepresentation
bin10010101010000110…
…11011100000110000
3221212002120002112212
421111003123200300
5131003311201242
64333544511252
7503141135360
oct112503334060
927762502485
1010016897072
114280306036
121b3677b528
13c38355440
146b04c09a0
153d95e9782
hex2550db830

10016897072 has 160 divisors (see below), whose sum is σ = 25731686400. Its totient is φ = 3667783680.

The previous prime is 10016896997. The next prime is 10016897089. The reversal of 10016897072 is 27079861001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033304 + ... + 1042952.

It is an arithmetic number, because the mean of its divisors is an integer number (160823040).

Almost surely, 210016897072 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 10016897072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865843200).

10016897072 is an abundant number, since it is smaller than the sum of its proper divisors (15714789328).

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

10016897072 is a wasteful number, since it uses less digits than its factorization.

10016897072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9731 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 10016897072 in words is "ten billion, sixteen million, eight hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 31 46 52 56 62 91 92 104 112 124 161 182 184 208 217 248 299 322 364 368 403 434 496 598 644 713 728 806 868 1196 1288 1426 1456 1612 1736 2093 2392 2576 2821 2852 3224 3472 4186 4784 4991 5642 5704 6448 8372 9269 9649 9982 11284 11408 16744 18538 19298 19964 22568 33488 37076 38596 39928 45136 64883 67543 74152 77192 79856 125437 129766 135086 148304 154384 221927 250874 259532 270172 299119 443854 501748 519064 540344 598238 878059 887708 1003496 1038128 1080688 1196476 1553489 1756118 1775416 2006992 2093833 2392952 2885051 3106978 3512236 3550832 3888547 4187666 4785904 5770102 6213956 6879737 7024472 7777094 8375332 11540204 12427912 13759474 14048944 15554188 16750664 20195357 23080408 24855824 27219829 27518948 31108376 33501328 40390714 46160816 48158159 54439658 55037896 62216752 80781428 89436581 96316318 108879316 110075792 161562856 178873162 192632636 217758632 323125712 357746324 385265272 435517264 626056067 715492648 770530544 1252112134 1430985296 2504224268 5008448536 10016897072