Search a number
-
+
2958092042112 = 273219715118899
BaseRepresentation
bin101011000010111100000…
…001100111111110000000
3101110210100112001102202200
4223002330001213332000
5341431133030321422
610142532334313200
7423500164330614
oct53027401477600
911423315042680
102958092042112
11a40579927739
123b936b058800
13185c403bb89c
14a325b18d344
1551e304cb2ac
hex2b0bc067f80

2958092042112 has 192 divisors, whose sum is σ = 8961956640000. Its totient is φ = 933954278400.

The previous prime is 2958092042077. The next prime is 2958092042177. The reversal of 2958092042112 is 2112402908592.

2958092042112 is a `hidden beast` number, since 2 + 9 + 580 + 9 + 20 + 42 + 1 + 1 + 2 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 156511639 + ... + 156530537.

It is an arithmetic number, because the mean of its divisors is an integer number (46676857500).

Almost surely, 22958092042112 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 2958092042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480978320000).

2958092042112 is an abundant number, since it is smaller than the sum of its proper divisors (6003864597888).

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

2958092042112 is a wasteful number, since it uses less digits than its factorization.

2958092042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26089 (or 26074 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 2958092042112 in words is "two trillion, nine hundred fifty-eight billion, ninety-two million, forty-two thousand, one hundred twelve".