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20449875732192 = 253423813313571
BaseRepresentation
bin1001010011001010110111…
…00101000010011011100000
32200101222201000000120220000
410221211123211002123200
510140022321141412232
6111254313200220000
74210311661450554
oct451453345023340
980358630016800
1020449875732192
11657481a7a6215
1223633a600a600
13b54551a0243a
14509aca443864
15256e3527927c
hex12995b9426e0

20449875732192 has 120 divisors (see below), whose sum is σ = 60167793985992. Its totient is φ = 6813760262400.

The previous prime is 20449875732191. The next prime is 20449875732277. The reversal of 20449875732192 is 29123757894402.

20449875732192 is a `hidden beast` number, since 2 + 0 + 4 + 49 + 8 + 7 + 573 + 2 + 19 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20449875732191) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4514767 + ... + 7828337.

Almost surely, 220449875732192 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 20449875732192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083896992996).

20449875732192 is an abundant number, since it is smaller than the sum of its proper divisors (39717918253800).

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

20449875732192 is a wasteful number, since it uses less digits than its factorization.

20449875732192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315974 (or 3315957 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 20449875732192 in words is "twenty trillion, four hundred forty-nine billion, eight hundred seventy-five million, seven hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2381 2592 4762 7143 9524 14286 19048 21429 28572 38096 42858 57144 64287 76192 85716 114288 128574 171432 192861 228576 257148 342864 385722 514296 685728 771444 1028592 1542888 2057184 3085776 3313571 6171552 6627142 9940713 13254284 19881426 26508568 29822139 39762852 53017136 59644278 79525704 89466417 106034272 119288556 159051408 178932834 238577112 268399251 318102816 357865668 477154224 536798502 715731336 954308448 1073597004 1431462672 2147194008 2862925344 4294388016 7889612551 8588776032 15779225102 23668837653 31558450204 47337675306 63116900408 71006512959 94675350612 126233800816 142013025918 189350701224 213019538877 252467601632 284026051836 378701402448 426039077754 568052103672 639058616631 757402804896 852078155508 1136104207344 1278117233262 1704156311016 2272208414688 2556234466524 3408312622032 5112468933048 6816625244064 10224937866096 20449875732192