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19972707973632 = 293232479133451
BaseRepresentation
bin1001000101010010000100…
…01010011111101000000000
32121201101001100200220202100
410202221002022133220000
510104213101220124012
6110251200235150400
74130660215435611
oct442510212375000
977641040626670
1019972707973632
116400417a66747
1222a6a175a5400
13b1b558c677cb
144d098171dc08
15249808d698dc
hex122a4229fa00

19972707973632 has 120 divisors (see below), whose sum is σ = 57644794247040. Its totient is φ = 6657314457600.

The previous prime is 19972707973613. The next prime is 19972707973661. The reversal of 19972707973632 is 23637970727991.

19972707973632 is a `hidden beast` number, since 199 + 7 + 2 + 7 + 0 + 79 + 7 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149596507 + ... + 149729957.

It is an arithmetic number, because the mean of its divisors is an integer number (480373285392).

Almost surely, 219972707973632 is an apocalyptic number.

19972707973632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19972707973632 is an abundant number, since it is smaller than the sum of its proper divisors (37672086273408).

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

19972707973632 is a wasteful number, since it uses less digits than its factorization.

19972707973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165954 (or 165935 counting only the distinct ones).

The product of its (nonzero) digits is 378071064, while the sum is 72.

The spelling of 19972707973632 in words is "nineteen trillion, nine hundred seventy-two billion, seven hundred seven million, nine hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 32479 64958 97437 129916 133451 194874 259832 266902 292311 389748 400353 519664 533804 584622 779496 800706 1039328 1067608 1169244 1201059 1558992 1601412 2078656 2135216 2338488 2402118 3117984 3202824 4157312 4270432 4676976 4804236 6235968 6405648 8314624 8540864 9353952 9608472 12471936 12811296 16629248 17081728 18707904 19216944 24943872 25622592 34163456 37415808 38433888 49887744 51245184 68326912 74831616 76867776 102490368 149663232 153735552 204980736 307471104 614942208 4334355029 8668710058 13003065087 17337420116 26006130174 34674840232 39009195261 52012260348 69349680464 78018390522 104024520696 138699360928 156036781044 208049041392 277398721856 312073562088 416098082784 554797443712 624147124176 832196165568 1109594887424 1248294248352 1664392331136 2219189774848 2496588496704 3328784662272 4993176993408 6657569324544 9986353986816 19972707973632