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12188588064 = 253486126119
BaseRepresentation
bin10110101100111111…
…10001100000100000
31011110102222102112120
423112133301200200
5144430234304224
65333243424240
7611021201112
oct132637614040
934412872476
1012188588064
11519515a684
122441b25080
1311c32546b3
14838aad3b2
154b50c3779
hex2d67f1820

12188588064 has 48 divisors (see below), whose sum is σ = 32002850880. Its totient is φ = 4061871360.

The previous prime is 12188588021. The next prime is 12188588119. The reversal of 12188588064 is 46088588121.

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

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12188587998 and 12188588016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453597 + ... + 479715.

It is an arithmetic number, because the mean of its divisors is an integer number (666726060).

Almost surely, 212188588064 is an apocalyptic number.

It is an amenable number.

12188588064 is an abundant number, since it is smaller than the sum of its proper divisors (19814262816).

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

12188588064 is a wasteful number, since it uses less digits than its factorization.

12188588064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30993 (or 30985 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 12188588064 in words is "twelve billion, one hundred eighty-eight million, five hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4861 9722 14583 19444 26119 29166 38888 52238 58332 77776 78357 104476 116664 155552 156714 208952 233328 313428 417904 466656 626856 835808 1253712 2507424 126964459 253928918 380893377 507857836 761786754 1015715672 1523573508 2031431344 3047147016 4062862688 6094294032 12188588064