Search a number
-
+
2830934381088 = 25311179100914843
BaseRepresentation
bin101001001100100000110…
…101101001001000100000
3101000122010200110222012210
4221030200311221020200
5332340223200143323
610004302512322120
7411346123131042
oct51144065511040
911018120428183
102830934381088
119a1657723990
123987a2243340
13176c57349648
149b0373a9a92
154d98be67293
hex29320d69220

2830934381088 has 192 divisors, whose sum is σ = 8160684940800. Its totient is φ = 852163522560.

The previous prime is 2830934381027. The next prime is 2830934381131. The reversal of 2830934381088 is 8801834390382.

It is a super-2 number, since 2×28309343810882 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190717795 + ... + 190732637.

It is an arithmetic number, because the mean of its divisors is an integer number (42503567400).

Almost surely, 22830934381088 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 2830934381088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080342470400).

2830934381088 is an abundant number, since it is smaller than the sum of its proper divisors (5329750559712).

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

2830934381088 is a wasteful number, since it uses less digits than its factorization.

2830934381088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16055 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 2830934381088 in words is "two trillion, eight hundred thirty billion, nine hundred thirty-four million, three hundred eighty-one thousand, eighty-eight".