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11427318000 = 24355373359
BaseRepresentation
bin10101010010001111…
…10000100011110000
31002111101111220100000
422221013300203300
5141400343134000
65125531030000
7553115412630
oct125107604360
932441456300
1011427318000
11493447216a
12226ab9b300
131101612237
147a59466c0
1546d34c000
hex2a91f08f0

11427318000 has 480 divisors, whose sum is σ = 47316971520. Its totient is φ = 2611180800.

The previous prime is 11427317989. The next prime is 11427318017. The reversal of 11427318000 is 81372411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3400321 + ... + 3403679.

It is an arithmetic number, because the mean of its divisors is an integer number (98577024).

Almost surely, 211427318000 is an apocalyptic number.

11427318000 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 11427318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23658485760).

11427318000 is an abundant number, since it is smaller than the sum of its proper divisors (35889653520).

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

11427318000 is an equidigital number, since it uses as much as digits as its factorization.

11427318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11427318000 in words is "eleven billion, four hundred twenty-seven million, three hundred eighteen thousand".