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11317775616 = 283273122637
BaseRepresentation
bin10101000101001011…
…11000110100000000
31002012202101120102200
422202211320310000
5141134322304431
65111015113200
7550315335240
oct124245706400
932182346380
1011317775616
114888653374
12223a372800
1310b4a0a264
1479518db20
1546390eee6
hex2a2978d00

11317775616 has 216 divisors, whose sum is σ = 38498363904. Its totient is φ = 3129200640.

The previous prime is 11317775591. The next prime is 11317775659. The reversal of 11317775616 is 61657771311.

11317775616 is a `hidden beast` number, since 1 + 1 + 3 + 17 + 77 + 561 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488650 + ... + 511286.

Almost surely, 211317775616 is an apocalyptic number.

11317775616 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 11317775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249181952).

11317775616 is an abundant number, since it is smaller than the sum of its proper divisors (27180588288).

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

11317775616 is a wasteful number, since it uses less digits than its factorization.

11317775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22697 (or 22680 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The spelling of 11317775616 in words is "eleven billion, three hundred seventeen million, seven hundred seventy-five thousand, six hundred sixteen".