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11686554096 = 2437229315527
BaseRepresentation
bin10101110001001001…
…01010100111110000
31010011110022110101220
422320210222213300
5142413224212341
65211351225040
7562414033200
oct127044524760
933143273356
1011686554096
114a57834078
122321978180
131143239889
147cc148400
15485ea7a66
hex2b892a9f0

11686554096 has 240 divisors, whose sum is σ = 37509027840. Its totient is φ = 3119316480.

The previous prime is 11686554073. The next prime is 11686554107. The reversal of 11686554096 is 69045568611.

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, 2111685 + ... + 2117211.

It is an arithmetic number, because the mean of its divisors is an integer number (156287616).

Almost surely, 211686554096 is an apocalyptic number.

11686554096 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 11686554096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754513920).

11686554096 is an abundant number, since it is smaller than the sum of its proper divisors (25822473744).

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

11686554096 is a wasteful number, since it uses less digits than its factorization.

11686554096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 11686554096 in words is "eleven billion, six hundred eighty-six million, five hundred fifty-four thousand, ninety-six".