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64209936384 = 213341119463
BaseRepresentation
bin111011110011001101…
…011110000000000000
320010201220022201210000
4323303031132000000
52023000220431014
645255253440000
74432116311466
oct736315360000
9203656281700
1064209936384
112525a920630
121053b940000
136093a047c9
143171a54836
151a0c146509
hexef335e000

64209936384 has 560 divisors, whose sum is σ = 220753716480. Its totient is φ = 18393661440.

The previous prime is 64209936383. The next prime is 64209936397. The reversal of 64209936384 is 48363990246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 64209936384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64209936383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138682137 + ... + 138682599.

Almost surely, 264209936384 is an apocalyptic number.

64209936384 is a gapful number since it is divisible by the number (64) 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 64209936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376858240).

64209936384 is an abundant number, since it is smaller than the sum of its proper divisors (156543780096).

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

64209936384 is a wasteful number, since it uses less digits than its factorization.

64209936384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 64209936384 in words is "sixty-four billion, two hundred nine million, nine hundred thirty-six thousand, three hundred eighty-four".