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64227766016 = 283718137463
BaseRepresentation
bin111011110100010001…
…011110111100000000
320010210010212120102202
4323310101132330000
52023014302003031
645301131532332
74432424001101
oct736421367400
9203703776382
1064227766016
1125269999267
12105458ba0a8
13609760809b
1431741763a8
151a0d9b92cb
hexef445ef00

64227766016 has 72 divisors (see below), whose sum is σ = 132400623264. Its totient is φ = 31072481280.

The previous prime is 64227766013. The next prime is 64227766019. The reversal of 64227766016 is 61066772246.

64227766016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64227766013) and next prime (64227766019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64227766013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695701 + ... + 1733163.

Almost surely, 264227766016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64227766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66200311632).

64227766016 is an abundant number, since it is smaller than the sum of its proper divisors (68172857248).

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

64227766016 is a wasteful number, since it uses less digits than its factorization.

64227766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37697 (or 37683 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 64227766016 in words is "sixty-four billion, two hundred twenty-seven million, seven hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 181 256 296 362 592 724 1184 1448 2368 2896 4736 5792 6697 9472 11584 13394 23168 26788 37463 46336 53576 74926 107152 149852 214304 299704 428608 599408 857216 1198816 1386131 1714432 2397632 2772262 4795264 5544524 6780803 9590528 11089048 13561606 22178096 27123212 44356192 54246424 88712384 108492848 177424768 216985696 250889711 354849536 433971392 501779422 867942784 1003558844 1735885568 2007117688 4014235376 8028470752 16056941504 32113883008 64227766016