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10412042355 = 32511131618033
BaseRepresentation
bin10011011001001101…
…10010100001110011
3222212122002112222100
421230212302201303
5132310440323410
64441102111443
7516006620421
oct115446624163
928778075870
1010412042355
114463365590
122026b7b583
13c9c187110
1470ab80111
1540e14e8c0
hex26c9b2873

10412042355 has 48 divisors (see below), whose sum is σ = 21202717536. Its totient is φ = 4659932160.

The previous prime is 10412042321. The next prime is 10412042419. The reversal of 10412042355 is 55324021401.

10412042355 is a `hidden beast` number, since 10 + 412 + 0 + 4 + 235 + 5 = 666.

10412042355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10412042355 - 213 = 10412034163 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 802582 + ... + 815451.

It is an arithmetic number, because the mean of its divisors is an integer number (441723282).

Almost surely, 210412042355 is an apocalyptic number.

10412042355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10412042355 is an abundant number, since it is smaller than the sum of its proper divisors (10790675181).

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

10412042355 is a wasteful number, since it uses less digits than its factorization.

10412042355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618068 (or 1618065 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10412042355 its reverse (55324021401), we get a palindrome (65736063756).

The spelling of 10412042355 in words is "ten billion, four hundred twelve million, forty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 1618033 4854099 8090165 14562297 17798363 21034429 24270495 53395089 63103287 72811485 88991815 105172145 160185267 189309861 231378719 266975445 315516435 694136157 800926335 946549305 1156893595 2082408471 3470680785 10412042355