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68606516160 = 26335713711229
BaseRepresentation
bin111111111001010001…
…000101101111000000
320120002022021010102000
4333321101011233000
52111001232004120
651303431424000
74646063523360
oct777121055700
9216068233360
1068606516160
1127106654036
1211368225000
13661483aac0
14346b91c9a0
151bb8106990
hexff9445bc0

68606516160 has 896 divisors, whose sum is σ = 302322585600. Its totient is φ = 14259732480.

The previous prime is 68606516129. The next prime is 68606516189. The reversal of 68606516160 is 6161560686.

68606516160 is a `hidden beast` number, since 68 + 60 + 6 + 516 + 16 + 0 = 666.

It is a super-2 number, since 2×686065161602 (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55822426 + ... + 55823654.

It is an arithmetic number, because the mean of its divisors is an integer number (337413600).

Almost surely, 268606516160 is an apocalyptic number.

68606516160 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 68606516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151161292800).

68606516160 is an abundant number, since it is smaller than the sum of its proper divisors (233716069440).

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

68606516160 is a wasteful number, since it uses less digits than its factorization.

68606516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 68606516160 in words is "sixty-eight billion, six hundred six million, five hundred sixteen thousand, one hundred sixty".