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11252716992 = 263411414813
BaseRepresentation
bin10100111101011011…
…01101010111000000
31002001012222020210000
422132231231113000
5141021143420432
65100332440000
7545565342036
oct123655552700
932035866700
1011252716992
114854957910
122220619000
1310a43ab92a
1478a696556
1545cd5d57c
hex29eb6d5c0

11252716992 has 280 divisors, whose sum is σ = 37284275952. Its totient is φ = 3326054400.

The previous prime is 11252716973. The next prime is 11252717009. The reversal of 11252716992 is 29961725211.

11252716992 is a `hidden beast` number, since 112 + 527 + 1 + 6 + 9 + 9 + 2 = 666.

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, 2335578 + ... + 2340390.

Almost surely, 211252716992 is an apocalyptic number.

11252716992 is a gapful number since it is divisible by the number (12) 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 11252716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642137976).

11252716992 is an abundant number, since it is smaller than the sum of its proper divisors (26031558960).

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

11252716992 is a wasteful number, since it uses less digits than its factorization.

11252716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4870 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 11252716992 in words is "eleven billion, two hundred fifty-two million, seven hundred sixteen thousand, nine hundred ninety-two".