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11937140640 = 2533519145433
BaseRepresentation
bin10110001111000001…
…00100111110100000
31010210220211120112000
423013200210332200
5143421402000030
65252302204000
7601546010205
oct130740447640
933726746460
1011937140640
115076228497
122391883600
131183126239
14813537cac
1549cea5860
hex2c7824fa0

11937140640 has 192 divisors, whose sum is σ = 43979241600. Its totient is φ = 3015677952.

The previous prime is 11937140623. The next prime is 11937140671. The reversal of 11937140640 is 4604173911.

11937140640 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 7 + 1 + 4 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11937140595 and 11937140604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9364 + ... + 154796.

It is an arithmetic number, because the mean of its divisors is an integer number (229058550).

Almost surely, 211937140640 is an apocalyptic number.

11937140640 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 11937140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989620800).

11937140640 is an abundant number, since it is smaller than the sum of its proper divisors (32042100960).

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

11937140640 is a wasteful number, since it uses less digits than its factorization.

11937140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145476 (or 145462 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11937140640 in words is "eleven billion, nine hundred thirty-seven million, one hundred forty thousand, six hundred forty".