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10245504132 = 223394865779
BaseRepresentation
bin10011000101010110…
…11111110010000100
3222110000201112111000
421202223133302010
5131440322113012
64412352413300
7511615230303
oct114253376204
928400645430
1010245504132
114388357996
121b9b247230
13c738176a6
146d29cc43a
153ee704ddc
hex262adfc84

10245504132 has 24 divisors (see below), whose sum is σ = 26562418400. Its totient is φ = 3415168008.

The previous prime is 10245504119. The next prime is 10245504149. The reversal of 10245504132 is 23140554201.

10245504132 is a `hidden beast` number, since 1 + 0 + 24 + 5 + 504 + 132 = 666.

10245504132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10245504096 and 10245504105.

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, 47432782 + ... + 47432997.

Almost surely, 210245504132 is an apocalyptic number.

10245504132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10245504132 is an abundant number, since it is smaller than the sum of its proper divisors (16316914268).

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

10245504132 is a wasteful number, since it uses less digits than its factorization.

10245504132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94865792 (or 94865784 counting only the distinct ones).

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

The spelling of 10245504132 in words is "ten billion, two hundred forty-five million, five hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 94865779 189731558 284597337 379463116 569194674 853792011 1138389348 1707584022 2561376033 3415168044 5122752066 10245504132