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19872825216 = 27370697321
BaseRepresentation
bin10010100000100000…
…110011111110000000
31220021222020010020120
4102200200303332000
5311144420401331
613043543340240
71302316140636
oct224040637600
956258203216
1019872825216
1184787677a2
123a27451680
131b4923b09a
14d6745d356
157b49e9796
hex4a0833f80

19872825216 has 64 divisors (see below), whose sum is σ = 52801870800. Its totient is φ = 6622433280.

The previous prime is 19872825209. The next prime is 19872825221. The reversal of 19872825216 is 61252827891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2710836 + ... + 2718156.

Almost surely, 219872825216 is an apocalyptic number.

19872825216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19872825216 is an abundant number, since it is smaller than the sum of its proper divisors (32929045584).

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

19872825216 is an equidigital number, since it uses as much as digits as its factorization.

19872825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14395 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 19872825216 in words is "nineteen billion, eight hundred seventy-two million, eight hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7069 7321 14138 14642 21207 21963 28276 29284 42414 43926 56552 58568 84828 87852 113104 117136 169656 175704 226208 234272 339312 351408 452416 468544 678624 702816 904832 937088 1357248 1405632 2714496 2811264 51752149 103504298 155256447 207008596 310512894 414017192 621025788 828034384 1242051576 1656068768 2484103152 3312137536 4968206304 6624275072 9936412608 19872825216