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27387602064 = 243445972
BaseRepresentation
bin11001100000011011…
…011010010010010000
32121200200121100010000
4121200123122102100
5422042211231224
620325351210000
71656455530224
oct314033322220
977620540100
1027387602064
1110684650879
125384076900
1327760a0cc4
14147b4da784
15aa45ea0c9
hex6606da490

27387602064 has 75 divisors (see below), whose sum is σ = 79284913257. Its totient is φ = 9127214784.

The previous prime is 27387602051. The next prime is 27387602101. The reversal of 27387602064 is 46020678372.

The square root of 27387602064 is 165492.

It is a perfect power (a square), and thus also a powerful number.

27387602064 is a `hidden beast` number, since 2 + 7 + 38 + 7 + 602 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1976691600 + 25410910464 = 44460^2 + 159408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5955414 + ... + 5960010.

Almost surely, 227387602064 is an apocalyptic number.

27387602064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

27387602064 is the 165492-nd square number.

It is an amenable number.

27387602064 is an abundant number, since it is smaller than the sum of its proper divisors (51897311193).

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

27387602064 is an frugal number, since it uses more digits than its factorization.

27387602064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27387602064 in words is "twenty-seven billion, three hundred eighty-seven million, six hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4597 9194 13791 18388 27582 36776 41373 55164 73552 82746 110328 124119 165492 220656 248238 330984 372357 496476 661968 744714 992952 1489428 1985904 2978856 5957712 21132409 42264818 63397227 84529636 126794454 169059272 190191681 253588908 338118544 380383362 507177816 570575043 760766724 1014355632 1141150086 1521533448 1711725129 2282300172 3043066896 3423450258 4564600344 6846900516 9129200688 13693801032 27387602064