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11639696640 = 2835112134147
BaseRepresentation
bin10101101011100011…
…11010110100000000
31010001012010212001120
422311301322310000
5142314230243030
65202555032240
7561304534425
oct126561726400
933035125046
1011639696640
114a3333a400
12230a13b680
131136611980
147c5c2bd4c
15481cee010
hex2b5c7ad00

11639696640 has 864 divisors, whose sum is σ = 46036505088. Its totient is φ = 2487091200.

The previous prime is 11639696623. The next prime is 11639696669. The reversal of 11639696640 is 4669693611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247653097 + ... + 247653143.

It is an arithmetic number, because the mean of its divisors is an integer number (53282992).

Almost surely, 211639696640 is an apocalyptic number.

11639696640 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 11639696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018252544).

11639696640 is an abundant number, since it is smaller than the sum of its proper divisors (34396808448).

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

11639696640 is a wasteful number, since it uses less digits than its factorization.

11639696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 11639696640 in words is "eleven billion, six hundred thirty-nine million, six hundred ninety-six thousand, six hundred forty".