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11499939360 = 253457313199
BaseRepresentation
bin10101011010111001…
…10010011000100000
31002200110011110010000
422231130302120200
5142022441024420
65141043340000
7554656605000
oct125534623040
932613143100
1011499939360
114971463718
12228b381600
13111368ac60
147b144c000
154748e4690
hex2ad732620

11499939360 has 960 divisors, whose sum is σ = 51226560000. Its totient is φ = 2414168064.

The previous prime is 11499939277. The next prime is 11499939361. The reversal of 11499939360 is 6393999411.

11499939360 is a `hidden beast` number, since 1 + 1 + 499 + 9 + 3 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11499939297 and 11499939306.

It is not an unprimeable number, because it can be changed into a prime (11499939361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788541 + ... + 57788739.

It is an arithmetic number, because the mean of its divisors is an integer number (53361000).

Almost surely, 211499939360 is an apocalyptic number.

11499939360 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 11499939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25613280000).

11499939360 is an abundant number, since it is smaller than the sum of its proper divisors (39726620640).

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

11499939360 is a wasteful number, since it uses less digits than its factorization.

11499939360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 11499939360 in words is "eleven billion, four hundred ninety-nine million, nine hundred thirty-nine thousand, three hundred sixty".