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11899490400 = 25325271791319
BaseRepresentation
bin10110001010100001…
…11101000001100000
31010201021222202002200
423011100331001200
5143332232143100
65244435213200
7600610666560
oct130520750140
933637882080
1011899490400
115056a52296
122381147200
1311783a30a5
1480c536da0
15499a19e00
hex2c543d060

11899490400 has 432 divisors, whose sum is σ = 48259411200. Its totient is φ = 2702638080.

The previous prime is 11899490377. The next prime is 11899490401. The reversal of 11899490400 is 409499811.

11899490400 is a `hidden beast` number, since 118 + 9 + 9 + 490 + 40 + 0 = 666.

It is a super-3 number, since 3×118994904003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11899490401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9020941 + ... + 9022259.

It is an arithmetic number, because the mean of its divisors is an integer number (111711600).

Almost surely, 211899490400 is an apocalyptic number.

11899490400 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 11899490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24129705600).

11899490400 is an abundant number, since it is smaller than the sum of its proper divisors (36359920800).

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

11899490400 is a wasteful number, since it uses less digits than its factorization.

11899490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11899490400 in words is "eleven billion, eight hundred ninety-nine million, four hundred ninety thousand, four hundred".