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60064748640 = 253351319181311
BaseRepresentation
bin110111111100001000…
…110101010001100000
312202001000102101012000
4313330020311101200
51441003033424030
643332100004000
74224313640151
oct677410652140
9182030371160
1060064748640
1123522a91736
12b783690600
135882caa6b0
142c9b309928
151868292860
hexdfc235460

60064748640 has 768 divisors, whose sum is σ = 240400742400. Its totient is φ = 13884825600.

The previous prime is 60064748593. The next prime is 60064748663. The reversal of 60064748640 is 4684746006.

60064748640 is a `hidden beast` number, since 60 + 0 + 6 + 474 + 86 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193134085 + ... + 193134395.

It is an arithmetic number, because the mean of its divisors is an integer number (313021800).

Almost surely, 260064748640 is an apocalyptic number.

60064748640 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 60064748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120200371200).

60064748640 is an abundant number, since it is smaller than the sum of its proper divisors (180335993760).

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

60064748640 is a wasteful number, since it uses less digits than its factorization.

60064748640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 60064748640 in words is "sixty billion, sixty-four million, seven hundred forty-eight thousand, six hundred forty".