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10624414136 = 237375127613
BaseRepresentation
bin10011110010100001…
…11011000110111000
31000102102201011021212
421321100323012320
5133224322223021
64514130022252
7524166013220
oct117120730670
930372634255
1010624414136
114562228656
122086117988
1310041836ab
1472b063080
15422aee85b
hex27943b1b8

10624414136 has 32 divisors (see below), whose sum is σ = 23381919840. Its totient is φ = 4430256768.

The previous prime is 10624414123. The next prime is 10624414169. The reversal of 10624414136 is 63141442601.

10624414136 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-2 number, since 2×106244141362 (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2561735 + ... + 2565878.

It is an arithmetic number, because the mean of its divisors is an integer number (730684995).

Almost surely, 210624414136 is an apocalyptic number.

It is an amenable number.

10624414136 is an abundant number, since it is smaller than the sum of its proper divisors (12757505704).

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

10624414136 is a wasteful number, since it uses less digits than its factorization.

10624414136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127663 (or 5127659 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 10624414136 its reverse (63141442601), we get a palindrome (73765856737).

The spelling of 10624414136 in words is "ten billion, six hundred twenty-four million, four hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 5127613 10255226 20510452 35893291 41020904 71786582 143573164 189721681 287146328 379443362 758886724 1328051767 1517773448 2656103534 5312207068 10624414136