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68531839560 = 233351737791277
BaseRepresentation
bin111111110100110100…
…001110001001001000
320112220002202011101000
4333310310032021020
52110323122331220
651252203055000
74644166011342
oct776464161110
9215802664330
1068531839560
1127078489438
1211347211460
136602222772
143461a40292
151bb17a5390
hexff4d0e248

68531839560 has 512 divisors, whose sum is σ = 251755776000. Its totient is φ = 16510500864.

The previous prime is 68531839553. The next prime is 68531839561. The reversal of 68531839560 is 6593813586.

68531839560 is a `hidden beast` number, since 68 + 5 + 3 + 18 + 3 + 9 + 560 = 666.

68531839560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×685318395602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68531839497 and 68531839506.

It is not an unprimeable number, because it can be changed into a prime (68531839561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53665642 + ... + 53666918.

It is an arithmetic number, because the mean of its divisors is an integer number (491710500).

Almost surely, 268531839560 is an apocalyptic number.

68531839560 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 68531839560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125877888000).

68531839560 is an abundant number, since it is smaller than the sum of its proper divisors (183223936440).

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

68531839560 is a wasteful number, since it uses less digits than its factorization.

68531839560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 68531839560 in words is "sixty-eight billion, five hundred thirty-one million, eight hundred thirty-nine thousand, five hundred sixty".