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64319636664 = 233279127269331
BaseRepresentation
bin111011111001101111…
…111100010010111000
320011000112202002021100
4323321233330102320
52023211311333124
645314213011400
74434620614413
oct737157742270
9204015662240
1064319636664
1125306838018
1210570623b60
1360b066360a
14318244cb7a
151a16ab51c9
hexef9bfc4b8

64319636664 has 192 divisors, whose sum is σ = 178993152000. Its totient is φ = 20860519680.

The previous prime is 64319636657. The next prime is 64319636669. The reversal of 64319636664 is 46663691346.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64319636664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64319636669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194318979 + ... + 194319309.

It is an arithmetic number, because the mean of its divisors is an integer number (932256000).

Almost surely, 264319636664 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 64319636664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89496576000).

64319636664 is an abundant number, since it is smaller than the sum of its proper divisors (114673515336).

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

64319636664 is a wasteful number, since it uses less digits than its factorization.

64319636664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 64319636664 in words is "sixty-four billion, three hundred nineteen million, six hundred thirty-six thousand, six hundred sixty-four".