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10464955960 = 2351311997129
BaseRepresentation
bin10011011111100001…
…01000111000111000
31000000022122211210111
421233300220320320
5132413012042320
64450232154104
7520221441454
oct115760507070
930008584714
1010464955960
114490216338
122040838934
13caa122744
14713bd5664
15413b02a5a
hex26fc28e38

10464955960 has 32 divisors (see below), whose sum is σ = 23725904400. Its totient is φ = 4154026240.

The previous prime is 10464955957. The next prime is 10464955993. The reversal of 10464955960 is 6955946401.

10464955960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 993325 + ... + 1003804.

Almost surely, 210464955960 is an apocalyptic number.

10464955960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10464955960 is an abundant number, since it is smaller than the sum of its proper divisors (13260948440).

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

10464955960 is a wasteful number, since it uses less digits than its factorization.

10464955960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997271 (or 1997267 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 10464955960 in words is "ten billion, four hundred sixty-four million, nine hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 131 262 524 655 1048 1310 2620 5240 1997129 3994258 7988516 9985645 15977032 19971290 39942580 79885160 261623899 523247798 1046495596 1308119495 2092991192 2616238990 5232477980 10464955960