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64748364768 = 2535193167211
BaseRepresentation
bin111100010011010011…
…011010001111100000
320012010102110201200000
4330103103122033200
52030101040133033
645424530100000
74451345006523
oct742323321740
9205112421600
1064748364768
112550684486a
121067011a600
13614b422c99
1431c3370bba
151a3e550a13
hexf134da3e0

64748364768 has 576 divisors, whose sum is σ = 211576135680. Its totient is φ = 19399564800.

The previous prime is 64748364761. The next prime is 64748364781. The reversal of 64748364768 is 86746384746.

It is a happy number.

64748364768 is a `hidden beast` number, since 64 + 74 + 8 + 36 + 476 + 8 = 666.

64748364768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64748364761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306864183 + ... + 306864393.

It is an arithmetic number, because the mean of its divisors is an integer number (367319680).

Almost surely, 264748364768 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 64748364768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105788067840).

64748364768 is an abundant number, since it is smaller than the sum of its proper divisors (146827770912).

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

64748364768 is a wasteful number, since it uses less digits than its factorization.

64748364768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 64748364768 in words is "sixty-four billion, seven hundred forty-eight million, three hundred sixty-four thousand, seven hundred sixty-eight".