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60421572864 = 28365692
BaseRepresentation
bin111000010001011010…
…000000100100000000
312202221212211221000000
4320101122000210000
51442220410312424
643431324000000
74236205616052
oct702132004400
9182855757000
1060421572864
1123696447a94
12b863090000
13590bbb2aa3
142cd28718d2
1518897783c9
hexe11680900

60421572864 has 189 divisors, whose sum is σ = 181146323113. Its totient is φ = 20105127936.

The previous prime is 60421572847. The next prime is 60421572889. The reversal of 60421572864 is 46827512406.

The square root of 60421572864 is 245808.

It is a perfect power (a square), and thus also a powerful number.

60421572864 is a `hidden beast` number, since 604 + 2 + 15 + 7 + 28 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9958443264 + 50463129600 = 99792^2 + 224640^2 .

It is a super-2 number, since 2×604215728642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 106188772 + ... + 106189340.

Almost surely, 260421572864 is an apocalyptic number.

60421572864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

60421572864 is the 245808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60421572864

60421572864 is an abundant number, since it is smaller than the sum of its proper divisors (120724750249).

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

60421572864 is an frugal number, since it uses more digits than its factorization.

60421572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 60421572864 in words is "sixty billion, four hundred twenty-one million, five hundred seventy-two thousand, eight hundred sixty-four".