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68579751240 = 2332572111331877
BaseRepresentation
bin111111110111101010…
…111111010101001000
320120000102220022211200
4333313222333111020
52110422404014430
651301034024200
74645320160500
oct776752772510
9216012808750
1068579751240
11270a2533170
121135b278060
13660c129480
143468152a00
151bb5abb460
hexff7abf548

68579751240 has 1152 divisors, whose sum is σ = 314785336320. Its totient is φ = 12715315200.

The previous prime is 68579751223. The next prime is 68579751269. The reversal of 68579751240 is 4215797586.

68579751240 is a `hidden beast` number, since 6 + 85 + 7 + 9 + 7 + 512 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78197682 + ... + 78198558.

It is an arithmetic number, because the mean of its divisors is an integer number (273251160).

Almost surely, 268579751240 is an apocalyptic number.

68579751240 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 68579751240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157392668160).

68579751240 is an abundant number, since it is smaller than the sum of its proper divisors (246205585080).

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

68579751240 is a wasteful number, since it uses less digits than its factorization.

68579751240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 68579751240 in words is "sixty-eight billion, five hundred seventy-nine million, seven hundred fifty-one thousand, two hundred forty".