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13641022513 = 1723310213373
BaseRepresentation
bin11001011010001000…
…10111110000110001
31022012122222202001001
430231010113300301
5210414100210023
610133330242001
7662015530636
oct145504276061
938178882031
1013641022513
115870002128
122788426301
131395131671
1493595018d
1554c8746ad
hex32d117c31

13641022513 has 16 divisors (see below), whose sum is σ = 14523936336. Its totient is φ = 12767201280.

The previous prime is 13641022511. The next prime is 13641022531. The reversal of 13641022513 is 31522014631.

It can be written as a sum of positive squares in 8 ways, for example, as 1793353104 + 11847669409 = 42348^2 + 108847^2 .

It is not a de Polignac number, because 13641022513 - 21 = 13641022511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13641022511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4042495 + ... + 4045867.

It is an arithmetic number, because the mean of its divisors is an integer number (907746021).

Almost surely, 213641022513 is an apocalyptic number.

It is an amenable number.

13641022513 is a deficient number, since it is larger than the sum of its proper divisors (882913823).

13641022513 is a wasteful number, since it uses less digits than its factorization.

13641022513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 13641022513 in words is "thirteen billion, six hundred forty-one million, twenty-two thousand, five hundred thirteen".

Divisors: 1 17 233 1021 3373 3961 17357 57341 237893 785909 3443833 4044181 13360453 58545161 802413089 13641022513