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2044054491840 = 26355171997839
BaseRepresentation
bin11101101111101011001…
…001000101001011000000
321020102001200010220200000
4131233223021011023000
5231442210422214330
64203005313400000
7300451401335544
oct35575311051300
97212050126600
102044054491840
11718973521629
12290199869000
1311a9a460711a
1470d0b717a24
1538285900560
hex1dbeb2452c0

2044054491840 has 1344 divisors, whose sum is σ = 8219856153600. Its totient is φ = 480432881664.

The previous prime is 2044054491803. The next prime is 2044054491847. The reversal of 2044054491840 is 481944504402.

2044054491840 is a `hidden beast` number, since 2 + 0 + 440 + 5 + 44 + 91 + 84 + 0 = 666.

It is a super-2 number, since 2×20440544918402 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2044054491847) 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, 2436298141 + ... + 2436298979.

It is an arithmetic number, because the mean of its divisors is an integer number (6115964400).

Almost surely, 22044054491840 is an apocalyptic number.

2044054491840 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 2044054491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109928076800).

2044054491840 is an abundant number, since it is smaller than the sum of its proper divisors (6175801661760).

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

2044054491840 is a wasteful number, since it uses less digits than its factorization.

2044054491840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2044054491840 in words is "two trillion, forty-four billion, fifty-four million, four hundred ninety-one thousand, eight hundred forty".