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13671422928 = 2432531791329
BaseRepresentation
bin11001011101110000…
…10101101111010000
31022021210012020120100
430232320111233100
5210444341013203
610140334012400
7662535114612
oct145670255720
938253166510
1013671422928
115886186439
122796647100
13139b516987
149399c4db2
1555037bea3
hex32ee15bd0

13671422928 has 60 divisors (see below), whose sum is σ = 38982923460. Its totient is φ = 4471154688.

The previous prime is 13671422927. The next prime is 13671422953. The reversal of 13671422928 is 82922417631.

13671422928 is a `hidden beast` number, since 136 + 7 + 1 + 422 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5031348624 + 8640074304 = 70932^2 + 92952^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13671422927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888033 + ... + 903296.

It is an arithmetic number, because the mean of its divisors is an integer number (649715391).

Almost surely, 213671422928 is an apocalyptic number.

13671422928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13671422928 is an abundant number, since it is smaller than the sum of its proper divisors (25311500532).

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

13671422928 is a wasteful number, since it uses less digits than its factorization.

13671422928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791396 (or 1791387 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 13671422928 in words is "thirteen billion, six hundred seventy-one million, four hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 1791329 3582658 5373987 7165316 10747974 14330632 16121961 21495948 28661264 32243922 42991896 64487844 85983792 94940437 128975688 189880874 257951376 284821311 379761748 569642622 759523496 854463933 1139285244 1519046992 1708927866 2278570488 3417855732 4557140976 6835711464 13671422928