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68635526960 = 245721121311131
BaseRepresentation
bin111111111010111111…
…110000011100110000
320120011022212000202002
4333322333300130300
52111031143330320
651310345313132
74646565232100
oct777277603460
9216138760662
1068635526960
1127120a69300
1211375a957a8
13661a857760
143471711200
151bba937675
hexffaff0730

68635526960 has 360 divisors, whose sum is σ = 219755965968. Its totient is φ = 19745510400.

The previous prime is 68635526959. The next prime is 68635527007. The reversal of 68635526960 is 6962553686.

It is a super-2 number, since 2×686355269602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 68635526896 and 68635526905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6160595 + ... + 6171725.

Almost surely, 268635526960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68635526960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109877982984).

68635526960 is an abundant number, since it is smaller than the sum of its proper divisors (151120439008).

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

68635526960 is a wasteful number, since it uses less digits than its factorization.

68635526960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11193 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 56.

It can be divided in two parts, 68635 and 526960, that added together give a palindrome (595595).

The spelling of 68635526960 in words is "sixty-eight billion, six hundred thirty-five million, five hundred twenty-six thousand, nine hundred sixty".