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20679847461 = 32713131192749
BaseRepresentation
bin10011010000100111…
…010110111000100101
31222101012210002122100
4103100213112320211
5314323020104321
613300012522313
71331315542320
oct232047267045
958335702570
1020679847461
118852264529
124011780399
131c474ac340
1410026d57b7
158107ac326
hex4d09d6e25

20679847461 has 48 divisors (see below), whose sum is σ = 37045008000. Its totient is φ = 10824727680.

The previous prime is 20679847457. The next prime is 20679847549. The reversal of 20679847461 is 16474897602.

20679847461 is a `hidden beast` number, since 20 + 6 + 7 + 98 + 474 + 61 = 666.

It is not a de Polignac number, because 20679847461 - 22 = 20679847457 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20679847398 and 20679847407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20679847411) 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, 10915 + ... + 203663.

It is an arithmetic number, because the mean of its divisors is an integer number (771771000).

Almost surely, 220679847461 is an apocalyptic number.

20679847461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20679847461 is a deficient number, since it is larger than the sum of its proper divisors (16365160539).

20679847461 is a wasteful number, since it uses less digits than its factorization.

20679847461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192906 (or 192903 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 20679847461 in words is "twenty billion, six hundred seventy-nine million, eight hundred forty-seven thousand, four hundred sixty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 131 273 393 819 917 1179 1703 2751 5109 8253 11921 15327 35763 107289 192749 578247 1349243 1734741 2505737 4047729 7517211 12143187 17540159 22551633 25250119 52620477 75750357 157861431 176750833 227251071 328251547 530252499 984754641 1590757497 2297760829 2954263923 6893282487 20679847461