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13641496032 = 253613231809
BaseRepresentation
bin11001011010001100…
…01011010111100000
31022012200212210120210
430231012023113200
5210414210333112
610133344334120
7662022542313
oct145506132740
938180783523
1013641496032
1158702a596a
122788614340
131395269058
14935a3497a
1554c919b3c
hex32d18b5e0

13641496032 has 48 divisors (see below), whose sum is σ = 35867497680. Its totient is φ = 4539727872.

The previous prime is 13641496021. The next prime is 13641496039. The reversal of 13641496032 is 23069414631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641496039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57057 + ... + 174752.

It is an arithmetic number, because the mean of its divisors is an integer number (747239535).

Almost surely, 213641496032 is an apocalyptic number.

13641496032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13641496032 is an abundant number, since it is smaller than the sum of its proper divisors (22226001648).

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

13641496032 is a wasteful number, since it uses less digits than its factorization.

13641496032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232435 (or 232427 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13641496032 in words is "thirteen billion, six hundred forty-one million, four hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 613 1226 1839 2452 3678 4904 7356 9808 14712 19616 29424 58848 231809 463618 695427 927236 1390854 1854472 2781708 3708944 5563416 7417888 11126832 22253664 142098917 284197834 426296751 568395668 852593502 1136791336 1705187004 2273582672 3410374008 4547165344 6820748016 13641496032