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19856001672 = 23321321213677
BaseRepresentation
bin10010011111100000…
…101000101010001000
31220020210120101200100
4102133200220222020
5311131114023142
613042143005400
71302023141463
oct223740505210
956223511610
1019856001672
11846a216a41
123a21899860
131b458ca720
14d651202da
157b32c4b4c
hex49f828a88

19856001672 has 48 divisors (see below), whose sum is σ = 57913340940. Its totient is φ = 6109538688.

The previous prime is 19856001569. The next prime is 19856001691. The reversal of 19856001672 is 27610065891.

19856001672 is a `hidden beast` number, since 1 + 9 + 8 + 560 + 0 + 16 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18926605476 + 929396196 = 137574^2 + 30486^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 10605903 + ... + 10607774.

Almost surely, 219856001672 is an apocalyptic number.

19856001672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19856001672 is an abundant number, since it is smaller than the sum of its proper divisors (38057339268).

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

19856001672 is a wasteful number, since it uses less digits than its factorization.

19856001672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21213702 (or 21213695 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 19856001672 in words is "nineteen billion, eight hundred fifty-six million, one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 21213677 42427354 63641031 84854708 127282062 169709416 190923093 254564124 275777801 381846186 509128248 551555602 763692372 827333403 1103111204 1527384744 1654666806 2206222408 2482000209 3309333612 4964000418 6618667224 9928000836 19856001672