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11994040656 = 243513359661
BaseRepresentation
bin10110010101110011…
…01000100101010000
31010221212220101200000
423022321220211100
5144030433300111
65302053530000
7603136443363
oct131271504520
933855811600
1011994040656
1150a53612a4
1223a8943900
131191b591a0
1481ad0a0da
154a2e94c56
hex2cae68950

11994040656 has 240 divisors, whose sum is σ = 37648840320. Its totient is φ = 3674626560.

The previous prime is 11994040613. The next prime is 11994040687. The reversal of 11994040656 is 65604049911.

It is a happy number.

11994040656 is a `hidden beast` number, since 1 + 199 + 4 + 0 + 406 + 56 = 666.

It is a super-2 number, since 2×119940406562 (a number of 21 digits) contains 22 as substring.

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, 18144966 + ... + 18145626.

It is an arithmetic number, because the mean of its divisors is an integer number (156870168).

Almost surely, 211994040656 is an apocalyptic number.

11994040656 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 11994040656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824420160).

11994040656 is an abundant number, since it is smaller than the sum of its proper divisors (25654799664).

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

11994040656 is a wasteful number, since it uses less digits than its factorization.

11994040656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11994040656 in words is "eleven billion, nine hundred ninety-four million, forty thousand, six hundred fifty-six".