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11131393536 = 293223127827
BaseRepresentation
bin10100101110111101…
…11001011000000000
31001201202200101021200
422113132321120000
5140244114043121
65040320221200
7542563166244
oct122736713000
931652611250
1011131393536
1147a242179a
1221a7a6a800
1310852104c3
14778514424
15452395a26
hex2977b9600

11131393536 has 240 divisors, whose sum is σ = 33827549184. Its totient is φ = 3516936192.

The previous prime is 11131393499. The next prime is 11131393571. The reversal of 11131393536 is 63539313111.

11131393536 is a `hidden beast` number, since 1 + 1 + 1 + 31 + 3 + 93 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11131393536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13459555 + ... + 13460381.

Almost surely, 211131393536 is an apocalyptic number.

11131393536 is a gapful number since it is divisible by the number (16) 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 11131393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913774592).

11131393536 is an abundant number, since it is smaller than the sum of its proper divisors (22696155648).

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

11131393536 is a wasteful number, since it uses less digits than its factorization.

11131393536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 982 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The spelling of 11131393536 in words is "eleven billion, one hundred thirty-one million, three hundred ninety-three thousand, five hundred thirty-six".