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2244296839680 = 29325724383557
BaseRepresentation
bin100000101010001010100…
…001000001001000000000
321221112220220110010220100
4200222022201001020000
5243232304442332210
64435003222042400
7321100524244200
oct40521241011000
97845826403810
102244296839680
1179588a06a2a5
12302b62579400
13133836bb998c
147a8a5a82400
153d5a52965c0
hex20a8a841200

2244296839680 has 1440 divisors, whose sum is σ = 9380181754944. Its totient is φ = 494126825472.

The previous prime is 2244296839639. The next prime is 2244296839711. The reversal of 2244296839680 is 869386924422.

2244296839680 is a `hidden beast` number, since 22 + 442 + 9 + 6 + 8 + 3 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4029257962 + ... + 4029258518.

Almost surely, 22244296839680 is an apocalyptic number.

2244296839680 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 2244296839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690090877472).

2244296839680 is an abundant number, since it is smaller than the sum of its proper divisors (7135884915264).

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

2244296839680 is a wasteful number, since it uses less digits than its factorization.

2244296839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 2244296839680 in words is "two trillion, two hundred forty-four billion, two hundred ninety-six million, eight hundred thirty-nine thousand, six hundred eighty".