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12086830560 = 2535731116041
BaseRepresentation
bin10110100000110111…
…00110010111100000
31011012100111121111010
423100123212113200
5144223212034220
65315210420520
7605344236030
oct132033462740
934170447433
1012086830560
115142778772
122413a31740
1311a8146c5c
148293818c0
154ab1c31e0
hex2d06e65e0

12086830560 has 192 divisors, whose sum is σ = 44916609024. Its totient is φ = 2673561600.

The previous prime is 12086830559. The next prime is 12086830573. The reversal of 12086830560 is 6503868021.

It is a happy number.

It is a super-2 number, since 2×120868305602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46140 + ... + 162180.

It is an arithmetic number, because the mean of its divisors is an integer number (233940672).

Almost surely, 212086830560 is an apocalyptic number.

12086830560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12086830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22458304512).

12086830560 is an abundant number, since it is smaller than the sum of its proper divisors (32829778464).

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

12086830560 is a wasteful number, since it uses less digits than its factorization.

12086830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116097 (or 116089 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 12086830560 in words is "twelve billion, eighty-six million, eight hundred thirty thousand, five hundred sixty".