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13060477404 = 223213110325301
BaseRepresentation
bin11000010100111011…
…10001000111011100
31020201012120222212100
430022131301013130
5203221440234104
65555551205100
7641436140412
oct141235610734
936635528770
1013060477404
1155a2331a87
122645b16790
131301a88050
148bc7cd2b2
155168eb139
hex30a7711dc

13060477404 has 72 divisors (see below), whose sum is σ = 35587161792. Its totient is φ = 4014806400.

The previous prime is 13060477399. The next prime is 13060477429. The reversal of 13060477404 is 40477406031.

It is a happy number.

13060477404 is a `hidden beast` number, since 1 + 3 + 0 + 604 + 7 + 7 + 40 + 4 = 666.

13060477404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×130604774044 (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 503554 + ... + 528854.

It is an arithmetic number, because the mean of its divisors is an integer number (494266136).

Almost surely, 213060477404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13060477404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793580896).

13060477404 is an abundant number, since it is smaller than the sum of its proper divisors (22526684388).

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

13060477404 is a wasteful number, since it uses less digits than its factorization.

13060477404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26427 (or 26422 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 13060477404 in words is "thirteen billion, sixty million, four hundred seventy-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1103 2206 3309 4412 6618 9927 13236 14339 19854 25301 28678 39708 43017 50602 57356 75903 86034 101204 129051 151806 172068 227709 258102 303612 328913 455418 516204 657826 910836 986739 1315652 1973478 2960217 3946956 5920434 11840868 27907003 55814006 83721009 111628012 167442018 251163027 334884036 362791039 502326054 725582078 1004652108 1088373117 1451164156 2176746234 3265119351 4353492468 6530238702 13060477404