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2830388109192 = 23327311914432141
BaseRepresentation
bin101001001100000000010…
…001110001111110001000
3101000120201121120111001100
4221030000101301332020
5332333113323443232
610004132400021400
7411326440654440
oct51140021617610
911016647514040
102830388109192
119a13a7332806
1239866b301860
13176b9b113037
149adc4a0b120
154d95900dc7c
hex29300471f88

2830388109192 has 384 divisors, whose sum is σ = 9115452702720. Its totient is φ = 776378304000.

The previous prime is 2830388109191. The next prime is 2830388109253. The reversal of 2830388109192 is 2919018830382.

2830388109192 is a `hidden beast` number, since 2 + 83 + 0 + 388 + 10 + 91 + 92 = 666.

It is a super-2 number, since 2×28303881091922 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2830388109191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1321992442 + ... + 1321994582.

It is an arithmetic number, because the mean of its divisors is an integer number (23738158080).

Almost surely, 22830388109192 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 2830388109192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557726351360).

2830388109192 is an abundant number, since it is smaller than the sum of its proper divisors (6285064593528).

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

2830388109192 is a wasteful number, since it uses less digits than its factorization.

2830388109192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 2830388109192 in words is "two trillion, eight hundred thirty billion, three hundred eighty-eight million, one hundred nine thousand, one hundred ninety-two".