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104956200504 = 23322296163487
BaseRepresentation
bin110000110111111100…
…0001000011000111000
3101000220120121102012100
41201233320020120320
53204422241404004
6120114411343400
710403624661441
oct1415770103070
9330816542170
10104956200504
114056a047981
1218411751b60
139b8857426c
1451193a02c8
152ae43dd739
hex186fe08638

104956200504 has 48 divisors (see below), whose sum is σ = 284273233920. Its totient is φ = 34983325440.

The previous prime is 104956200463. The next prime is 104956200509. The reversal of 104956200504 is 405002659401.

104956200504 is a `hidden beast` number, since 1 + 0 + 4 + 95 + 62 + 0 + 0 + 504 = 666.

It is a super-2 number, since 2×1049562005042 (a number of 23 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (104956200509) 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 11 ways as a sum of consecutive naturals, for example, 1621449 + ... + 1684935.

It is an arithmetic number, because the mean of its divisors is an integer number (5922359040).

Almost surely, 2104956200504 is an apocalyptic number.

It is an amenable number.

104956200504 is an abundant number, since it is smaller than the sum of its proper divisors (179317033416).

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

104956200504 is a wasteful number, since it uses less digits than its factorization.

104956200504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86460 (or 86453 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 104956200504 its reverse (405002659401), we get a palindrome (509958859905).

The spelling of 104956200504 in words is "one hundred four billion, nine hundred fifty-six million, two hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 22961 45922 63487 68883 91844 126974 137766 183688 190461 206649 253948 275532 380922 413298 507896 551064 571383 761844 826596 1142766 1523688 1653192 2285532 4571064 1457725007 2915450014 4373175021 5830900028 8746350042 11661800056 13119525063 17492700084 26239050126 34985400168 52478100252 104956200504