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64801811844 = 223272112192292
BaseRepresentation
bin111100010110011111…
…010010110110000100
320012021011001010021100
4330112133102312010
52030203230434334
645434115420100
74452564212100
oct742637226604
9205234033240
1064801811844
1125533a2a400
1210685bb4630
136159517383
1431ca4c4900
151a440abc99
hexf167d2d84

64801811844 has 729 divisors, whose sum is σ = 228934381221. Its totient is φ = 15395909760.

The previous prime is 64801811813. The next prime is 64801811911. The reversal of 64801811844 is 44811810846.

The square root of 64801811844 is 254562.

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

64801811844 is a `hidden beast` number, since 6 + 480 + 18 + 118 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33980498244 + 30821313600 = 184338^2 + 175560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64801811844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2234545222 + ... + 2234545250.

Almost surely, 264801811844 is an apocalyptic number.

64801811844 is the 254562-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64801811844

64801811844 is an abundant number, since it is smaller than the sum of its proper divisors (164132569377).

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

64801811844 is a wasteful number, since it uses less digits than its factorization.

64801811844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 64801811844 in words is "sixty-four billion, eight hundred one million, eight hundred eleven thousand, eight hundred forty-four".