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2058028661088 = 253419191331661
BaseRepresentation
bin11101111100101100000…
…100010011100101100000
321021202010120000021010000
4131330230010103211200
5232204320314123323
64213240104340000
7301454603662011
oct35745404234540
97252116007100
102058028661088
11723894587834
12292a39774600
1311c0c077091a
14718755c9008
153880262ee43
hex1df2c113960

2058028661088 has 480 divisors, whose sum is σ = 6433587578880. Its totient is φ = 643572864000.

The previous prime is 2058028661063. The next prime is 2058028661093. The reversal of 2058028661088 is 8801668208502.

It is a happy number.

2058028661088 is a `hidden beast` number, since 20 + 580 + 28 + 6 + 6 + 10 + 8 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3113507478 + ... + 3113508138.

It is an arithmetic number, because the mean of its divisors is an integer number (13403307456).

Almost surely, 22058028661088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058028661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216793789440).

2058028661088 is an abundant number, since it is smaller than the sum of its proper divisors (4375558917792).

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

2058028661088 is a wasteful number, since it uses less digits than its factorization.

2058028661088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2058028661088 in words is "two trillion, fifty-eight billion, twenty-eight million, six hundred sixty-one thousand, eighty-eight".