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20414597874912 = 253279897266081
BaseRepresentation
bin1001010010001001001001…
…10110101100010011100000
32200021121122102111202102100
410221010210312230103200
510133433044023444122
6111230200425250400
74204622523556653
oct451044466542340
980247572452370
1020414597874912
11656086732496a
12235859b633a00
13b5111c064487
1450810108989a
1525606d110aac
hex129124dac4e0

20414597874912 has 72 divisors (see below), whose sum is σ = 58788873692640. Its totient is φ = 6718728407040.

The previous prime is 20414597874883. The next prime is 20414597874947. The reversal of 20414597874912 is 21947879541402.

20414597874912 is a `hidden beast` number, since 2 + 0 + 4 + 14 + 59 + 7 + 87 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20414597874912.

It is a congruent number.

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, 448610289 + ... + 448655792.

It is an arithmetic number, because the mean of its divisors is an integer number (816512134620).

Almost surely, 220414597874912 is an apocalyptic number.

It is an amenable number.

20414597874912 is an abundant number, since it is smaller than the sum of its proper divisors (38374275817728).

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

20414597874912 is a wasteful number, since it uses less digits than its factorization.

20414597874912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897266176 (or 897266165 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 20414597874912 in words is "twenty trillion, four hundred fourteen billion, five hundred ninety-seven million, eight hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 897266081 1794532162 2691798243 3589064324 5383596486 7178128648 8075394729 10767192972 14356257296 16150789458 21534385944 28712514592 32301578916 43068771888 64603157832 70884020399 86137543776 129206315664 141768040798 212652061197 258412631328 283536081596 425304122394 567072163192 637956183591 850608244788 1134144326384 1275912367182 1701216489576 2268288652768 2551824734364 3402432979152 5103649468728 6804865958304 10207298937456 20414597874912