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11293920000 = 283254112331
BaseRepresentation
bin10101000010010101…
…11000101100000000
31002011002111120200100
422201022320230000
5141112220420000
65104403522400
7546605510316
oct124112705400
932132446610
1011293920000
11487613a290
122232389400
1310acaa6bcc
14791d400b6
1546179ba00
hex2a12b8b00

11293920000 has 1080 divisors, whose sum is σ = 47814294528. Its totient is φ = 2534400000.

The previous prime is 11293919951. The next prime is 11293920013. The reversal of 11293920000 is 2939211.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 364319985 + ... + 364320015.

Almost surely, 211293920000 is an apocalyptic number.

11293920000 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 11293920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907147264).

11293920000 is an abundant number, since it is smaller than the sum of its proper divisors (36520374528).

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

11293920000 is a wasteful number, since it uses less digits than its factorization.

11293920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11293920000 in words is "eleven billion, two hundred ninety-three million, nine hundred twenty thousand".