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11393520000 = 27354291637
BaseRepresentation
bin10101001110001101…
…10101000110000000
31002102000220210012020
422213012311012000
5141313220120000
65122322401440
7552225215322
oct124706650600
932360823166
1011393520000
114917388235
12225b800280
1310c760a615
147a1269612
1546a3c2ba0
hex2a71b5180

11393520000 has 320 divisors, whose sum is σ = 39145906800. Its totient is φ = 2931712000.

The previous prime is 11393519999. The next prime is 11393520011. The reversal of 11393520000 is 2539311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6959182 + ... + 6960818.

Almost surely, 211393520000 is an apocalyptic number.

11393520000 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 11393520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572953400).

11393520000 is an abundant number, since it is smaller than the sum of its proper divisors (27752386800).

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

11393520000 is an equidigital number, since it uses as much as digits as its factorization.

11393520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The spelling of 11393520000 in words is "eleven billion, three hundred ninety-three million, five hundred twenty thousand".