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2044797683040 = 25355731071433
BaseRepresentation
bin11101110000010111011…
…100001000010101100000
321020110222110120221100000
4131300113130020111200
5232000221201324130
64203211142500000
7300505664346000
oct35602734102540
97213873527300
102044797683040
11719214a91132
12290366734600
1311aa92589728
1470d7c2d6000
15382caca5260
hex1dc17708560

2044797683040 has 1152 divisors, whose sum is σ = 8523659289600. Its totient is φ = 462691160064.

The previous prime is 2044797683023. The next prime is 2044797683041. The reversal of 2044797683040 is 403867974402.

2044797683040 is a `hidden beast` number, since 20 + 4 + 479 + 76 + 83 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2044797683041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1426934164 + ... + 1426935596.

It is an arithmetic number, because the mean of its divisors is an integer number (7399009800).

Almost surely, 22044797683040 is an apocalyptic number.

2044797683040 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 2044797683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261829644800).

2044797683040 is an abundant number, since it is smaller than the sum of its proper divisors (6478861606560).

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

2044797683040 is a wasteful number, since it uses less digits than its factorization.

2044797683040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2044797683040 in words is "two trillion, forty-four billion, seven hundred ninety-seven million, six hundred eighty-three thousand, forty".