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12807661920 = 253526682629
BaseRepresentation
bin10111110110110010…
…10110100101100000
31020001120212122012220
423323121112211200
5202212230140140
65514520351040
7632246221134
oct137331264540
936046778186
1012807661920
115482655a69
122595315480
13129159aca1
14896dbd3c4
154ee60cbd0
hex2fb656960

12807661920 has 48 divisors (see below), whose sum is σ = 40344136560. Its totient is φ = 3415376384.

The previous prime is 12807661913. The next prime is 12807661927. The reversal of 12807661920 is 2916670821.

It is an interprime number because it is at equal distance from previous prime (12807661913) and next prime (12807661927).

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 (12807661927) 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, 13340835 + ... + 13341794.

It is an arithmetic number, because the mean of its divisors is an integer number (840502845).

Almost surely, 212807661920 is an apocalyptic number.

12807661920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12807661920 is an abundant number, since it is smaller than the sum of its proper divisors (27536474640).

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

12807661920 is a wasteful number, since it uses less digits than its factorization.

12807661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682647 (or 26682639 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 12807661920 in words is "twelve billion, eight hundred seven million, six hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26682629 53365258 80047887 106730516 133413145 160095774 213461032 266826290 320191548 400239435 426922064 533652580 640383096 800478870 853844128 1067305160 1280766192 1600957740 2134610320 2561532384 3201915480 4269220640 6403830960 12807661920