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2058630266880 = 216345112641
BaseRepresentation
bin11101111101001111111…
…011010000000000000000
321021210200111001000010000
4131331033323100000000
5232212033322020010
64213415515040000
7301505530356525
oct35751773200000
97253614030100
102058630266880
11724073132100
12292b87140000
1311c1882ac395
14718d146d14c
153883a3687c0
hex1df4fed0000

2058630266880 has 1020 divisors, whose sum is σ = 8125122222756. Its totient is φ = 498283315200.

The previous prime is 2058630266831. The next prime is 2058630266911. The reversal of 2058630266880 is 886620368502.

2058630266880 is a `hidden beast` number, since 2 + 0 + 586 + 30 + 26 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1359145598976 + 699484667904 = 1165824^2 + 836352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3211591360 + ... + 3211592000.

Almost surely, 22058630266880 is an apocalyptic number.

2058630266880 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 2058630266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062561111378).

2058630266880 is an abundant number, since it is smaller than the sum of its proper divisors (6066491955876).

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

2058630266880 is an frugal number, since it uses more digits than its factorization.

2058630266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2058630266880 in words is "two trillion, fifty-eight billion, six hundred thirty million, two hundred sixty-six thousand, eight hundred eighty".