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2955422053584 = 2432711131929127293
BaseRepresentation
bin101011000000011100111…
…000011011010011010000
3101110112110102222222001200
4223000130320123103100
5341410201021203314
610141411355231200
7423344053651530
oct53003470332320
911415412888050
102955422053584
11a3a429779850
123b8944a48500
131859061b2410
14a308672d4c0
1551d25dc3709
hex2b01ce1b4d0

2955422053584 has 1920 divisors, whose sum is σ = 12229617254400. Its totient is φ = 640851886080.

The previous prime is 2955422053579. The next prime is 2955422053601. The reversal of 2955422053584 is 4853502245592.

2955422053584 is a `hidden beast` number, since 2 + 9 + 5 + 5 + 4 + 2 + 2 + 0 + 53 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2955422053584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10086764542 + ... + 10086764834.

It is an arithmetic number, because the mean of its divisors is an integer number (6369592320).

Almost surely, 22955422053584 is an apocalyptic number.

2955422053584 is a gapful number since it is divisible by the number (24) 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 2955422053584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114808627200).

2955422053584 is an abundant number, since it is smaller than the sum of its proper divisors (9274195200816).

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

2955422053584 is a wasteful number, since it uses less digits than its factorization.

2955422053584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 2955422053584 in words is "two trillion, nine hundred fifty-five billion, four hundred twenty-two million, fifty-three thousand, five hundred eighty-four".