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64264336382016 = 26323340212
BaseRepresentation
bin11101001110010101101001…
…11100010001100001000000
322102112121111002121201222100
432213022310330101201000
531410401330103211031
6344402343434310400
716351642110215451
oct1647126474214100
9272477432551870
1064264336382016
1119527396579a21
12725aa38288400
1329b2140940594
1411c25a64c5128
157669e22a3de6
hex3a72b4f11840

64264336382016 has 63 divisors (see below), whose sum is σ = 184202668426413. Its totient is φ = 21421381328640.

The previous prime is 64264336382009. The next prime is 64264336382017. The reversal of 64264336382016 is 61028363346246.

The square root of 64264336382016 is 8016504.

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

64264336382016 is a `hidden beast` number, since 6 + 4 + 264 + 3 + 363 + 8 + 2 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20406035428416 + 43858300953600 = 4517304^2 + 6622560^2 .

It is not an unprimeable number, because it can be changed into a prime (64264336382017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192229086 + ... + 192563106.

Almost surely, 264264336382016 is an apocalyptic number.

64264336382016 is the 8016504-th square number.

It is an amenable number.

64264336382016 is an abundant number, since it is smaller than the sum of its proper divisors (119938332044397).

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

64264336382016 is an frugal number, since it uses more digits than its factorization.

64264336382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668060 (or 334026 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 54.

The spelling of 64264336382016 in words is "sixty-four trillion, two hundred sixty-four billion, three hundred thirty-six million, three hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 334021 668042 1002063 1336084 2004126 2672168 3006189 4008252 5344336 6012378 8016504 10688672 12024756 16033008 21377344 24049512 32066016 48099024 64132032 96198048 192396096 111570028441 223140056882 334710085323 446280113764 669420170646 892560227528 1004130255969 1338840341292 1785120455056 2008260511938 2677680682584 3570240910112 4016521023876 5355361365168 7140481820224 8033042047752 10710722730336 16066084095504 21421445460672 32132168191008 64264336382016