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2058794011008 = 27327821931063
BaseRepresentation
bin11101111101011001101…
…011111000100110000000
321021211002220011001211100
4131331121223320212000
5232212402231323013
64213444044414400
7301512556231620
oct35753153704600
97254086131740
102058794011008
11724147601529
12293011b47400
1311c1b31b10b7
14719090d4880
1538849910473
hex1df59af8980

2058794011008 has 192 divisors, whose sum is σ = 6771778041600. Its totient is φ = 588136356864.

The previous prime is 2058794010989. The next prime is 2058794011033. The reversal of 2058794011008 is 8001104978502.

2058794011008 is a `hidden beast` number, since 20 + 58 + 79 + 401 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×20587940110083 (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66262485 + ... + 66293547.

It is an arithmetic number, because the mean of its divisors is an integer number (35269677300).

Almost surely, 22058794011008 is an apocalyptic number.

2058794011008 is a gapful number since it is divisible by the number (28) 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 2058794011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385889020800).

2058794011008 is an abundant number, since it is smaller than the sum of its proper divisors (4712984030592).

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

2058794011008 is a wasteful number, since it uses less digits than its factorization.

2058794011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39309 (or 39294 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 2058794011008 in words is "two trillion, fifty-eight billion, seven hundred ninety-four million, eleven thousand, eight".