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60564813480 = 233352367151241
BaseRepresentation
bin111000011001111100…
…011011011010101000
312210022212101022012000
4320121330123122220
51443014043012410
643453442051000
74242565264143
oct703174333250
9183285338160
1060564813480
112375a292866
12b8a3049a60
135932786152
142d078bb05a
15189711edc0
hexe19f1b6a8

60564813480 has 512 divisors, whose sum is σ = 216113356800. Its totient is φ = 15054336000.

The previous prime is 60564813461. The next prime is 60564813509. The reversal of 60564813480 is 8431846506.

60564813480 is a `hidden beast` number, since 6 + 0 + 564 + 8 + 1 + 3 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251306160 + ... + 251306400.

It is an arithmetic number, because the mean of its divisors is an integer number (422096400).

Almost surely, 260564813480 is an apocalyptic number.

60564813480 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 60564813480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108056678400).

60564813480 is an abundant number, since it is smaller than the sum of its proper divisors (155548543320).

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

60564813480 is a wasteful number, since it uses less digits than its factorization.

60564813480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 60564813480 in words is "sixty billion, five hundred sixty-four million, eight hundred thirteen thousand, four hundred eighty".