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20720405313 = 344316336497
BaseRepresentation
bin10011010011000010…
…000100101101000001
31222111001002122120000
4103103002010231001
5314413410432223
613304022110213
71332320352636
oct232302045501
958431078500
1020720405313
118873146213
12402327b369
131c52a0ca7a
141007c5218d
1581411e543
hex4d3084b41

20720405313 has 40 divisors (see below), whose sum is σ = 31867717728. Its totient is φ = 13409214336.

The previous prime is 20720405311. The next prime is 20720405357. The reversal of 20720405313 is 31350402702.

20720405313 is a `hidden beast` number, since 20 + 72 + 0 + 40 + 531 + 3 = 666.

It is not a de Polignac number, because 20720405313 - 21 = 20720405311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20720405311) 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 39 ways as a sum of consecutive naturals, for example, 549481 + ... + 585977.

Almost surely, 220720405313 is an apocalyptic number.

It is an amenable number.

20720405313 is a deficient number, since it is larger than the sum of its proper divisors (11147312415).

20720405313 is a wasteful number, since it uses less digits than its factorization.

20720405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36715 (or 36706 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 20720405313 in words is "twenty billion, seven hundred twenty million, four hundred five thousand, three hundred thirteen".

Divisors: 1 3 9 27 43 81 129 163 387 489 1161 1467 3483 4401 7009 13203 21027 36497 63081 109491 189243 328473 567729 985419 1569371 2956257 4708113 5949011 14124339 17847033 42373017 53541099 127119051 160623297 255807473 481869891 767422419 2302267257 6906801771 20720405313