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68695795584 = 27321317475741
BaseRepresentation
bin111111111110100101…
…101010011110000000
320120022112020222202100
4333332211222132000
52111142110424314
651320341150400
74651226425263
oct777645523600
9216275228670
1068695795584
1127151a92a89
12113920bb400
13662a199a70
14347971ccda
151bc0d8ec09
hexffe96a780

68695795584 has 384 divisors, whose sum is σ = 230244094080. Its totient is φ = 19467141120.

The previous prime is 68695795579. The next prime is 68695795627. The reversal of 68695795584 is 48559759686.

68695795584 is a `hidden beast` number, since 6 + 8 + 69 + 5 + 7 + 9 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×686957955842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11962954 + ... + 11968694.

It is an arithmetic number, because the mean of its divisors is an integer number (599593995).

Almost surely, 268695795584 is an apocalyptic number.

68695795584 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 68695795584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115122047040).

68695795584 is an abundant number, since it is smaller than the sum of its proper divisors (161548298496).

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

68695795584 is a wasteful number, since it uses less digits than its factorization.

68695795584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5823 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 68695795584 in words is "sixty-eight billion, six hundred ninety-five million, seven hundred ninety-five thousand, five hundred eighty-four".