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20406631401 = 351361105899
BaseRepresentation
bin10011000000010101…
…000111101111101001
31221200011200021200000
4103000111013233221
5313243044201101
613212532533213
71321460335122
oct230025075751
957604607600
1020406631401
118722014232
123b56181209
131c029cb730
14db82d5049
157e67de486
hex4c0547be9

20406631401 has 48 divisors (see below), whose sum is σ = 33459316800. Its totient is φ = 12351942720.

The previous prime is 20406631391. The next prime is 20406631403. The reversal of 20406631401 is 10413660402.

20406631401 is a `hidden beast` number, since 20 + 4 + 0 + 6 + 631 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 20406631401 - 29 = 20406630889 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 (20406631403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 139750 + ... + 245648.

It is an arithmetic number, because the mean of its divisors is an integer number (697069100).

Almost surely, 220406631401 is an apocalyptic number.

It is an amenable number.

20406631401 is a deficient number, since it is larger than the sum of its proper divisors (13052685399).

20406631401 is a wasteful number, since it uses less digits than its factorization.

20406631401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105988 (or 105976 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20406631401 in words is "twenty billion, four hundred six million, six hundred thirty-one thousand, four hundred one".

Divisors: 1 3 9 13 27 39 61 81 117 183 243 351 549 793 1053 1647 2379 3159 4941 7137 14823 21411 64233 105899 192699 317697 953091 1376687 2859273 4130061 6459839 8577819 12390183 19379517 25733457 37170549 58138551 83977907 111511647 174415653 251933721 334534941 523246959 755801163 1569740877 2267403489 6802210467 20406631401