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64332742320 = 243357111761373
BaseRepresentation
bin111011111010100001…
…111011111010110000
320011001110101220212000
4323322201323322300
52023223140223240
645315401534000
74435140200340
oct737241737260
9204043356760
1064332742320
1125313179540
1210574aa4300
1360b32a1942
1431840a0d20
151a17d03430
hexefa87beb0

64332742320 has 1280 divisors, whose sum is σ = 298112348160. Its totient is φ = 12342067200.

The previous prime is 64332742291. The next prime is 64332742349. The reversal of 64332742320 is 2324723346.

64332742320 is a `hidden beast` number, since 6 + 4 + 3 + 327 + 4 + 2 + 320 = 666.

It is a Cunningham number, because it is equal to 2536392-1.

It is an interprime number because it is at equal distance from previous prime (64332742291) and next prime (64332742349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 172473654 + ... + 172474026.

It is an arithmetic number, because the mean of its divisors is an integer number (232900272).

Almost surely, 264332742320 is an apocalyptic number.

64332742320 is a gapful number since it is divisible by the number (60) 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 64332742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149056174080).

64332742320 is an abundant number, since it is smaller than the sum of its proper divisors (233779605840).

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

64332742320 is a wasteful number, since it uses less digits than its factorization.

64332742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 64332742320 in words is "sixty-four billion, three hundred thirty-two million, seven hundred forty-two thousand, three hundred twenty".