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2044119168 = 2732713173137
BaseRepresentation
bin111100111010110…
…1100100010000000
312021110101000100100
41321311230202000
513141243303133
6534500322400
7101440504050
oct17165544200
95243330310
102044119168
11959940a93
124906a3400
13267653a90
141556a1560
15be6c9e13
hex79d6c880

2044119168 has 768 divisors, whose sum is σ = 8126576640. Its totient is φ = 477757440.

The previous prime is 2044119139. The next prime is 2044119173. The reversal of 2044119168 is 8619114402.

2044119168 is a `hidden beast` number, since 20 + 441 + 191 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 55246446 + ... + 55246482.

It is an arithmetic number, because the mean of its divisors is an integer number (10581480).

Almost surely, 22044119168 is an apocalyptic number.

2044119168 is a gapful number since it is divisible by the number (28) 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 2044119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063288320).

2044119168 is an abundant number, since it is smaller than the sum of its proper divisors (6082457472).

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

2044119168 is a wasteful number, since it uses less digits than its factorization.

2044119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2044119168 is about 45211.9361231080. The cubic root of 2044119168 is about 1269.1181941637.

The spelling of 2044119168 in words is "two billion, forty-four million, one hundred nineteen thousand, one hundred sixty-eight".