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11160494016 = 2637217312251
BaseRepresentation
bin10100110010011011…
…11001111111000000
31001210210102211122020
422121031321333000
5140324041302031
65043240041440
7543365430300
oct123115717700
931723384566
1011160494016
114807898381
1221b5763280
13108b25bc19
1477c32b600
15454be3096
hex299379fc0

11160494016 has 336 divisors, whose sum is σ = 37560333312. Its totient is φ = 2903040000.

The previous prime is 11160494003. The next prime is 11160494017. The reversal of 11160494016 is 61049406111.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160494017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4956891 + ... + 4959141.

Almost surely, 211160494016 is an apocalyptic number.

11160494016 is a gapful number since it is divisible by the number (16) 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 11160494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780166656).

11160494016 is an abundant number, since it is smaller than the sum of its proper divisors (26399839296).

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

11160494016 is a wasteful number, since it uses less digits than its factorization.

11160494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11160494016 in words is "eleven billion, one hundred sixty million, four hundred ninety-four thousand, sixteen".