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2044119265920 = 2737517271317
BaseRepresentation
bin11101101111101111000…
…000001011001010000000
321020102020012000210000000
4131233233000023022000
5231442324013002140
64203015550000000
7300453116035344
oct35575700131200
97212205023000
102044119265920
117189a7043326
122901b74a6000
1311a9b4b66094
1470d16179624
153828b447a30
hex1dbef00b280

2044119265920 has 1024 divisors, whose sum is σ = 7813287475200. Its totient is φ = 509528309760.

The previous prime is 2044119265919. The next prime is 2044119265973. The reversal of 2044119265920 is 295629114402.

2044119265920 is a `hidden beast` number, since 2 + 0 + 4 + 41 + 19 + 2 + 6 + 592 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6448325602 + ... + 6448325918.

It is an arithmetic number, because the mean of its divisors is an integer number (7630163550).

Almost surely, 22044119265920 is an apocalyptic number.

2044119265920 is a gapful number since it is divisible by the number (20) 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 2044119265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906643737600).

2044119265920 is an abundant number, since it is smaller than the sum of its proper divisors (5769168209280).

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

2044119265920 is an equidigital number, since it uses as much as digits as its factorization.

2044119265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2044119265920 in words is "two trillion, forty-four billion, one hundred nineteen million, two hundred sixty-five thousand, nine hundred twenty".