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2903113092 = 223112937103199
BaseRepresentation
bin1010110100001001…
…1111110110000100
321111022201102111010
42231002133312010
521421144104332
61200023442220
7131641024365
oct25502376604
97438642433
102903113092
11125a805920
126902b6370
133735c09c9
141d77c5b6c
1511ed069cc
hexad09fd84

2903113092 has 192 divisors, whose sum is σ = 7967232000. Its totient is φ = 814302720.

The previous prime is 2903113049. The next prime is 2903113099.

It is a happy number.

2903113092 is nontrivially palindromic in base 10.

2903113092 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2903113099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14588409 + ... + 14588607.

It is an arithmetic number, because the mean of its divisors is an integer number (41496000).

Almost surely, 22903113092 is an apocalyptic number.

2903113092 is a gapful number since it is divisible by the number (22) 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 2903113092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616000).

2903113092 is an abundant number, since it is smaller than the sum of its proper divisors (5064118908).

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

2903113092 is a wasteful number, since it uses less digits than its factorization.

2903113092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2903113092 is about 53880.5446520356. The cubic root of 2903113092 is about 1426.5532409266.

The spelling of 2903113092 in words is "two billion, nine hundred three million, one hundred thirteen thousand, ninety-two".