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116312532672 = 2637223388081
BaseRepresentation
bin110110001010011000…
…1000110011011000000
3102010020000112212021110
41230110301012123000
53401202002021142
6125233325123320
711255222133540
oct1542461063300
9363200485243
10116312532672
1145367435366
121a6609b9540
13ac7826103b
1458b5709320
15305b3b799c
hex1b14c466c0

116312532672 has 112 divisors (see below), whose sum is σ = 353285015552. Its totient is φ = 33083043840.

The previous prime is 116312532659. The next prime is 116312532709. The reversal of 116312532672 is 276235213611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 116312532672.

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, 105672 + ... + 493752.

It is an arithmetic number, because the mean of its divisors is an integer number (3154330496).

Almost surely, 2116312532672 is an apocalyptic number.

116312532672 is a gapful number since it is divisible by the number (12) 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 116312532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176642507776).

116312532672 is an abundant number, since it is smaller than the sum of its proper divisors (236972482880).

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

116312532672 is a wasteful number, since it uses less digits than its factorization.

116312532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388326 (or 388316 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 116312532672 in words is "one hundred sixteen billion, three hundred twelve million, five hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 223 224 336 446 448 669 672 892 1338 1344 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 14272 18732 21408 24976 37464 42816 49952 74928 99904 149856 299712 388081 776162 1164243 1552324 2328486 2716567 3104648 4656972 5433134 6209296 8149701 9313944 10866268 12418592 16299402 18627888 21732536 24837184 32598804 37255776 43465072 65197608 74511552 86542063 86930144 130395216 173084126 173860288 259626189 260790432 346168252 519252378 521580864 605794441 692336504 1038504756 1211588882 1384673008 1817383323 2077009512 2423177764 2769346016 3634766646 4154019024 4846355528 5538692032 7269533292 8308038048 9692711056 14539066584 16616076096 19385422112 29078133168 38770844224 58156266336 116312532672