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64345500672 = 21032329311013
BaseRepresentation
bin111011111011010010…
…100110110000000000
320011002100102010000120
4323323102212300000
52023234422010142
645320535220240
74435353505605
oct737322466000
9204070363016
1064345500672
112531a3a3032
1210579217680
1360b5b1ab6b
143185a626ac
151a18ec37ec
hexefb4a6c00

64345500672 has 352 divisors, whose sum is σ = 191292641280. Its totient is φ = 19150602240.

The previous prime is 64345500629. The next prime is 64345500691. The reversal of 64345500672 is 27600554346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63519238 + ... + 63520250.

Almost surely, 264345500672 is an apocalyptic number.

64345500672 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64345500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95646320640).

64345500672 is an abundant number, since it is smaller than the sum of its proper divisors (126947140608).

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

64345500672 is a wasteful number, since it uses less digits than its factorization.

64345500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 64345500672 in words is "sixty-four billion, three hundred forty-five million, five hundred thousand, six hundred seventy-two".