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2058900228000 = 2533537211113313
BaseRepresentation
bin11101111101100000000…
…001000100011110100000
321021211101022000110011000
4131331200001010132200
5232213111424244000
64213502401152000
7301515316116300
oct35754001043640
97254338013130
102058900228000
117241a1559970
1229304162b600
1311c1cc1c05a5
1471919263600
1538853de2000
hex1df600447a0

2058900228000 has 2304 divisors, whose sum is σ = 9625332487680. Its totient is φ = 422682624000.

The previous prime is 2058900227999. The next prime is 2058900228019. The reversal of 2058900228000 is 8220098502.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6577955844 + ... + 6577956156.

It is an arithmetic number, because the mean of its divisors is an integer number (4177661670).

Almost surely, 22058900228000 is an apocalyptic number.

2058900228000 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 2058900228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812666243840).

2058900228000 is an abundant number, since it is smaller than the sum of its proper divisors (7566432259680).

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

2058900228000 is a wasteful number, since it uses less digits than its factorization.

2058900228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2058900228000 in words is "two trillion, fifty-eight billion, nine hundred million, two hundred twenty-eight thousand".