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10288032920 = 2351123381893
BaseRepresentation
bin10011001010011011…
…01110110010011000
3222112222202020000022
421211031232302120
5132032214023140
64420512130012
7512642560034
oct114515566230
928488666008
1010288032920
1143aa365450
121bb1536908
13c7c588259
146d84dd1c4
154033060b5
hex26536ec98

10288032920 has 32 divisors (see below), whose sum is σ = 25252445520. Its totient is φ = 3741102720.

The previous prime is 10288032913. The next prime is 10288032943. The reversal of 10288032920 is 2923088201.

10288032920 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, 11690507 + ... + 11691386.

Almost surely, 210288032920 is an apocalyptic number.

10288032920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10288032920 is an abundant number, since it is smaller than the sum of its proper divisors (14964412600).

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

10288032920 is a wasteful number, since it uses less digits than its factorization.

10288032920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23381915 (or 23381911 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 10288032920 in words is "ten billion, two hundred eighty-eight million, thirty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23381893 46763786 93527572 116909465 187055144 233818930 257200823 467637860 514401646 935275720 1028803292 1286004115 2057606584 2572008230 5144016460 10288032920