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64625145984 = 2732725731183
BaseRepresentation
bin111100001011111101…
…010111100010000000
320011210211121120021100
4330023331113202000
52024323014132414
645404405054400
74445320451220
oct741375274200
9204724546240
1064625145984
1125453234763
12106369b7400
13612ba3cc69
1431b0c58080
151a33811609
hexf0bf57880

64625145984 has 192 divisors, whose sum is σ = 213365917440. Its totient is φ = 18391891968.

The previous prime is 64625145983. The next prime is 64625146007. The reversal of 64625145984 is 48954152646.

It is a happy number.

64625145984 is a `hidden beast` number, since 6 + 4 + 62 + 51 + 459 + 84 = 666.

64625145984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×646251459842 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64625145984.

It is not an unprimeable number, because it can be changed into a prime (64625145983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056857 + ... + 2088039.

It is an arithmetic number, because the mean of its divisors is an integer number (1111280820).

Almost surely, 264625145984 is an apocalyptic number.

64625145984 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 64625145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106682958720).

64625145984 is an abundant number, since it is smaller than the sum of its proper divisors (148740771456).

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

64625145984 is a wasteful number, since it uses less digits than its factorization.

64625145984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31467 (or 31452 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 64625145984 in words is "sixty-four billion, six hundred twenty-five million, one hundred forty-five thousand, nine hundred eighty-four".