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10172720844 = 223211131976053
BaseRepresentation
bin10010111100101011…
…10110011011001100
3222020221202202120200
421132111312123030
5131313204031334
64401232413500
7510042462156
oct113625663314
928227682520
1010172720844
114350265810
121b7a9a7290
13c61713060
146c7083ad6
153e8129799
hex25e5766cc

10172720844 has 72 divisors (see below), whose sum is σ = 30209913552. Its totient is φ = 2845514880.

The previous prime is 10172720813. The next prime is 10172720849. The reversal of 10172720844 is 44802727101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10172720799 and 10172720808.

It is not an unprimeable number, because it can be changed into a prime (10172720849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982879 + ... + 993174.

Almost surely, 210172720844 is an apocalyptic number.

It is an amenable number.

10172720844 is an abundant number, since it is smaller than the sum of its proper divisors (20037192708).

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

10172720844 is a wasteful number, since it uses less digits than its factorization.

10172720844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976087 (or 1976082 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 10172720844 in words is "ten billion, one hundred seventy-two million, seven hundred twenty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 1976053 3952106 5928159 7904212 11856318 17784477 21736583 23712636 25688689 35568954 43473166 51377378 65209749 71137908 77066067 86946332 102754756 130419498 154132134 195629247 231198201 260838996 282575579 308264268 391258494 462396402 565151158 782516988 847726737 924792804 1130302316 1695453474 2543180211 3390906948 5086360422 10172720844