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13564166145 = 353770934471
BaseRepresentation
bin11001010000111110…
…01100000000000001
31022000022101000220220
430220133030000001
5210234411304040
610121543053253
7660063336615
oct145037140001
938008330826
1013564166145
115830688872
122766741229
13138223211a
14929665345
15545c422d0
hex3287cc001

13564166145 has 32 divisors (see below), whose sum is σ = 22321309440. Its totient is φ = 7028570880.

The previous prime is 13564166137. The next prime is 13564166149. The reversal of 13564166145 is 54166146531.

It is not a de Polignac number, because 13564166145 - 23 = 13564166137 is a prime.

It is a super-2 number, since 2×135641661452 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13564166097 and 13564166106.

It is not an unprimeable number, because it can be changed into a prime (13564166149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376260 + ... + 410730.

It is an arithmetic number, because the mean of its divisors is an integer number (697540920).

Almost surely, 213564166145 is an apocalyptic number.

13564166145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13564166145 is a deficient number, since it is larger than the sum of its proper divisors (8757143295).

13564166145 is a wasteful number, since it uses less digits than its factorization.

13564166145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35225.

The product of its digits is 259200, while the sum is 42.

The spelling of 13564166145 in words is "thirteen billion, five hundred sixty-four million, one hundred sixty-six thousand, one hundred forty-five".

Divisors: 1 3 5 15 37 111 185 555 709 2127 3545 10635 26233 34471 78699 103413 131165 172355 393495 517065 1275427 3826281 6377135 19131405 24439939 73319817 122199695 366599085 904277743 2712833229 4521388715 13564166145