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13099440960 = 263354136979
BaseRepresentation
bin11000011001100100…
…11001101101000000
31020210220220112211000
430030302121231000
5203311424102320
610003502252000
7642421260654
oct141462315500
936726815730
1013099440960
115612324971
122656b87000
131309b7abc8
148c3a52a64
1551a045c90
hex30cc99b40

13099440960 has 224 divisors, whose sum is σ = 47340316800. Its totient is φ = 3407892480.

The previous prime is 13099440877. The next prime is 13099440989. The reversal of 13099440960 is 6904499031.

13099440960 is a `hidden beast` number, since 1 + 30 + 99 + 440 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 335751 + ... + 372729.

It is an arithmetic number, because the mean of its divisors is an integer number (211340700).

Almost surely, 213099440960 is an apocalyptic number.

13099440960 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 13099440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23670158400).

13099440960 is an abundant number, since it is smaller than the sum of its proper divisors (34240875840).

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

13099440960 is a wasteful number, since it uses less digits than its factorization.

13099440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37046 (or 37030 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13099440960 in words is "thirteen billion, ninety-nine million, four hundred forty thousand, nine hundred sixty".