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13564006440 = 2335293897703
BaseRepresentation
bin11001010000111101…
…00101000000101000
31022000022001220211220
430220132211000220
5210234341201230
610121535422040
7660062103165
oct145036450050
938008056756
1013564006440
115830589886
122766684920
1313821a751a
1492962306c
15545c0ed10
hex3287a5028

13564006440 has 64 divisors (see below), whose sum is σ = 42095203200. Its totient is φ = 3492340992.

The previous prime is 13564006439. The next prime is 13564006481. The reversal of 13564006440 is 4460046531.

It is a super-2 number, since 2×135640064402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945372 + ... + 1952331.

It is an arithmetic number, because the mean of its divisors is an integer number (657737550).

Almost surely, 213564006440 is an apocalyptic number.

13564006440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13564006440 is an abundant number, since it is smaller than the sum of its proper divisors (28531196760).

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

13564006440 is a wasteful number, since it uses less digits than its factorization.

13564006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897746 (or 3897742 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 13564006440 in words is "thirteen billion, five hundred sixty-four million, six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 3897703 7795406 11693109 15590812 19488515 23386218 31181624 38977030 46772436 58465545 77954060 93544872 113033387 116931090 155908120 226066774 233862180 339100161 452133548 467724360 565166935 678200322 904267096 1130333870 1356400644 1695500805 2260667740 2712801288 3391001610 4521335480 6782003220 13564006440