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13640124564 = 22321134444759
BaseRepresentation
bin11001011010000001…
…11100100010010100
31022012121022010021200
430231000330202110
5210413332441224
610133255112500
7662005101003
oct145500744224
938177263250
1013640124564
11586a549520
122788072730
131394ba8a31
14935798c3a
1554c7485c9
hex32d03c894

13640124564 has 36 divisors (see below), whose sum is σ = 37613677920. Its totient is φ = 4133370960.

The previous prime is 13640124541. The next prime is 13640124569. The reversal of 13640124564 is 46542104631.

13640124564 is a `hidden beast` number, since 1 + 3 + 6 + 401 + 245 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640124569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17221984 + ... + 17222775.

Almost surely, 213640124564 is an apocalyptic number.

It is an amenable number.

13640124564 is an abundant number, since it is smaller than the sum of its proper divisors (23973553356).

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

13640124564 is a wasteful number, since it uses less digits than its factorization.

13640124564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34444780 (or 34444775 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13640124564 in words is "thirteen billion, six hundred forty million, one hundred twenty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 34444759 68889518 103334277 137779036 206668554 310002831 378892349 413337108 620005662 757784698 1136677047 1240011324 1515569396 2273354094 3410031141 4546708188 6820062282 13640124564