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11193885450 = 233521121729139
BaseRepresentation
bin10100110110011010…
…10010001100001010
31001220010021022002000
422123031102030022
5140411113313300
65050431451430
7544252312356
oct123315221412
931803238060
1011193885450
114824724900
122204986b76
131095150777
14782940466
15457adbc00
hex29b35230a

11193885450 has 576 divisors, whose sum is σ = 37403856000. Its totient is φ = 2448230400.

The previous prime is 11193885413. The next prime is 11193885497. The reversal of 11193885450 is 5458839111.

11193885450 is a `hidden beast` number, since 1 + 1 + 193 + 8 + 8 + 5 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11193885396 and 11193885405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 80531481 + ... + 80531619.

It is an arithmetic number, because the mean of its divisors is an integer number (64937250).

Almost surely, 211193885450 is an apocalyptic number.

11193885450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11193885450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928000).

11193885450 is an abundant number, since it is smaller than the sum of its proper divisors (26209970550).

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

11193885450 is a wasteful number, since it uses less digits than its factorization.

11193885450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11193885450 in words is "eleven billion, one hundred ninety-three million, eight hundred eighty-five thousand, four hundred fifty".