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19953582912 = 263234641637
BaseRepresentation
bin10010100101010100…
…111000001101000000
31220111121012000222100
4102211110320031000
5311331104123122
613055550310400
71304316441054
oct224524701500
956447160870
1019953582912
11850a30619a
123a4a4b8400
131b5cba52c3
14d74081c64
157bbb4caac
hex4a5538340

19953582912 has 42 divisors (see below), whose sum is σ = 57193344338. Its totient is φ = 6651194112.

The previous prime is 19953582911. The next prime is 19953582919. The reversal of 19953582912 is 21928535991.

It is a happy number.

19953582912 is a `hidden beast` number, since 1 + 9 + 9 + 53 + 582 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11309046336 + 8644536576 = 106344^2 + 92976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19953582911) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17320243 + ... + 17321394.

Almost surely, 219953582912 is an apocalyptic number.

19953582912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19953582912 is an abundant number, since it is smaller than the sum of its proper divisors (37239761426).

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

19953582912 is a wasteful number, since it uses less digits than its factorization.

19953582912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34641655 (or 34641642 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 19953582912 in words is "nineteen billion, nine hundred fifty-three million, five hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 34641637 69283274 103924911 138566548 207849822 277133096 311774733 415699644 554266192 623549466 831399288 1108532384 1247098932 1662798576 2217064768 2494197864 3325597152 4988395728 6651194304 9976791456 19953582912