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66452056320 = 28351323311867
BaseRepresentation
bin111101111000110110…
…011110100100000000
320100112011021020010010
4331320312132210000
52042043211300240
650305550104520
74541513105346
oct757066364400
9210464236103
1066452056320
11262004a9511
1210a667ab140
1363603928b0
143305737996
151adddd3280
hexf78d9e900

66452056320 has 576 divisors, whose sum is σ = 246319202304. Its totient is φ = 15133409280.

The previous prime is 66452056309. The next prime is 66452056357. The reversal of 66452056320 is 2365025466.

66452056320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35592027 + ... + 35593893.

It is an arithmetic number, because the mean of its divisors is an integer number (427637504).

Almost surely, 266452056320 is an apocalyptic number.

66452056320 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 66452056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123159601152).

66452056320 is an abundant number, since it is smaller than the sum of its proper divisors (179867145984).

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

66452056320 is a wasteful number, since it uses less digits than its factorization.

66452056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 66452056320 in words is "sixty-six billion, four hundred fifty-two million, fifty-six thousand, three hundred twenty".