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20634831072 = 2532312311249
BaseRepresentation
bin10011001101111011…
…101000100011100000
31222021002002000202200
4103031323220203200
5314230004043242
613251324013200
71330231112232
oct231573504340
958232060680
1020634831072
118829907aa9
123bba691200
131c3b07a41b
14dda738252
1580b86904c
hex4cdee88e0

20634831072 has 72 divisors (see below), whose sum is σ = 60573240000. Its totient is φ = 6656394240.

The previous prime is 20634831031. The next prime is 20634831097. The reversal of 20634831072 is 27013843602.

It is a happy number.

20634831072 is a `hidden beast` number, since 2 + 0 + 634 + 8 + 3 + 10 + 7 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146697 + ... + 1164552.

It is an arithmetic number, because the mean of its divisors is an integer number (841295000).

Almost surely, 220634831072 is an apocalyptic number.

It is an amenable number.

20634831072 is an abundant number, since it is smaller than the sum of its proper divisors (39938408928).

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

20634831072 is a wasteful number, since it uses less digits than its factorization.

20634831072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311296 (or 2311285 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20634831072 in words is "twenty billion, six hundred thirty-four million, eight hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 2311249 4622498 6933747 9244996 13867494 18489992 20801241 27734988 36979984 41602482 55469976 71648719 73959968 83204964 110939952 143297438 166409928 214946157 221879904 286594876 332819856 429892314 573189752 644838471 665639712 859784628 1146379504 1289676942 1719569256 2292759008 2579353884 3439138512 5158707768 6878277024 10317415536 20634831072