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1068495644160 = 2932578278011
BaseRepresentation
bin11111000110001110100…
…11011010011000000000
310210010222022001200002200
433203013103122120000
5120001234341103120
62134505441513200
7140124214056420
oct17430723323000
93703868050080
101068495644160
11382167a3217a
121530b9042800
13799b2b573b9
1439a03344480
151cbd9c6be90
hexf8c74da600

1068495644160 has 480 divisors, whose sum is σ = 4234786313472. Its totient is φ = 243901808640.

The previous prime is 1068495644141. The next prime is 1068495644213. The reversal of 1068495644160 is 614465948601.

1068495644160 is a `hidden beast` number, since 1 + 0 + 6 + 84 + 95 + 64 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10684956441602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068495644097 and 1068495644106.

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, 133374555 + ... + 133382565.

Almost surely, 21068495644160 is an apocalyptic number.

1068495644160 is a gapful number since it is divisible by the number (10) 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 1068495644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117393156736).

1068495644160 is an abundant number, since it is smaller than the sum of its proper divisors (3166290669312).

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

1068495644160 is an equidigital number, since it uses as much as digits as its factorization.

1068495644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1068495644160 in words is "one trillion, sixty-eight billion, four hundred ninety-five million, six hundred forty-four thousand, one hundred sixty".