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10069456968 = 2332139853569
BaseRepresentation
bin10010110000010111…
…11011100001001000
3221222202110102011200
421120023323201020
5131110240110333
64343103224200
7504346654254
oct113013734110
927882412150
1010069456968
1142a7a4506a
121b502a8060
13c461c8a7c
146b7483264
153de02cc13
hex2582fb848

10069456968 has 24 divisors (see below), whose sum is σ = 27271446150. Its totient is φ = 3356485632.

The previous prime is 10069456967. The next prime is 10069457003. The reversal of 10069456968 is 86965496001.

It is a happy number.

10069456968 is a `hidden beast` number, since 10 + 0 + 6 + 9 + 4 + 569 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8053626564 + 2015830404 = 89742^2 + 44898^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10069456967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69926713 + ... + 69926856.

Almost surely, 210069456968 is an apocalyptic number.

10069456968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10069456968 is an abundant number, since it is smaller than the sum of its proper divisors (17201989182).

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

10069456968 is a wasteful number, since it uses less digits than its factorization.

10069456968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139853581 (or 139853574 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10069456968 in words is "ten billion, sixty-nine million, four hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139853569 279707138 419560707 559414276 839121414 1118828552 1258682121 1678242828 2517364242 3356485656 5034728484 10069456968