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1112941196640 = 2533571323831483
BaseRepresentation
bin10000001100100000011…
…101101111010101100000
310221101200210012200011000
4100030200131233111200
5121213300421243030
62211140024152000
7143256502040550
oct20144035572540
93841623180130
101112941196640
11399aa5322629
1215b841908600
1380c46c2b890
143bc1c0c7160
151de3bb89860
hex1032076f560

1112941196640 has 1536 divisors, whose sum is σ = 5066338959360. Its totient is φ = 221753106432.

The previous prime is 1112941196579. The next prime is 1112941196729. The reversal of 1112941196640 is 466911492111.

1112941196640 is a `hidden beast` number, since 11 + 129 + 411 + 9 + 66 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 750465339 + ... + 750466821.

It is an arithmetic number, because the mean of its divisors is an integer number (3298397760).

Almost surely, 21112941196640 is an apocalyptic number.

1112941196640 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 1112941196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533169479680).

1112941196640 is an abundant number, since it is smaller than the sum of its proper divisors (3953397762720).

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

1112941196640 is a wasteful number, since it uses less digits than its factorization.

1112941196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

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

The spelling of 1112941196640 in words is "one trillion, one hundred twelve billion, nine hundred forty-one million, one hundred ninety-six thousand, six hundred forty".