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12032765664 = 253196596911
BaseRepresentation
bin10110011010011010…
…10110111011100000
31011001120202211101120
423031031112323200
5144120342000124
65305555532240
7604116551313
oct131515267340
934046684346
1012032765664
115115200a37
1223b98ba080
131199b975aa
1482210a97a
154a6593d79
hex2cd356ee0

12032765664 has 48 divisors (see below), whose sum is σ = 33248436480. Its totient is φ = 3799820160.

The previous prime is 12032765659. The next prime is 12032765669. The reversal of 12032765664 is 46656723021.

It is an interprime number because it is at equal distance from previous prime (12032765659) and next prime (12032765669).

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 (12032765669) 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, 3296632 + ... + 3300279.

It is an arithmetic number, because the mean of its divisors is an integer number (692675760).

Almost surely, 212032765664 is an apocalyptic number.

It is an amenable number.

12032765664 is an abundant number, since it is smaller than the sum of its proper divisors (21215670816).

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

12032765664 is a wasteful number, since it uses less digits than its factorization.

12032765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596943 (or 6596935 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 12032765664 in words is "twelve billion, thirty-two million, seven hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 6596911 13193822 19790733 26387644 39581466 52775288 79162932 105550576 125341309 158325864 211101152 250682618 316651728 376023927 501365236 633303456 752047854 1002730472 1504095708 2005460944 3008191416 4010921888 6016382832 12032765664