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3190293411048 = 2334231734212939
BaseRepresentation
bin101110011011001100010…
…011100011010011101000
3102021222201000220011010000
4232123030103203103220
5404232210103123143
610441333415423000
7446330305363662
oct56331423432350
912258630804100
103190293411048
11101aaa5506a37
12436372984a60
131a1ac6b93603
14b05a7bd1532
1557ec0966bd3
hex2e6cc4e34e8

3190293411048 has 320 divisors, whose sum is σ = 9403659619200. Its totient is φ = 1008569802240.

The previous prime is 3190293411017. The next prime is 3190293411073. The reversal of 3190293411048 is 8401143920913.

3190293411048 is a `hidden beast` number, since 3 + 190 + 2 + 9 + 3 + 411 + 0 + 48 = 666.

3190293411048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3190293410994 and 3190293411012.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1085501563 + ... + 1085504501.

It is an arithmetic number, because the mean of its divisors is an integer number (29386436310).

Almost surely, 23190293411048 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 3190293411048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701829809600).

3190293411048 is an abundant number, since it is smaller than the sum of its proper divisors (6213366208152).

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

3190293411048 is a wasteful number, since it uses less digits than its factorization.

3190293411048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3190293411048 in words is "three trillion, one hundred ninety billion, two hundred ninety-three million, four hundred eleven thousand, forty-eight".