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2116513056 = 253731719199
BaseRepresentation
bin111111000100111…
…0110110100100000
312110111121000002110
41332021312310200
513313311404211
6550004115320
7103310031000
oct17611666440
95414530073
102116513056
11996797649
124b0995b40
132796500b8
14161148000
15c5c29ea6
hex7e276d20

2116513056 has 384 divisors, whose sum is σ = 7257600000. Its totient is φ = 536481792.

The previous prime is 2116513033. The next prime is 2116513057. The reversal of 2116513056 is 6503156112.

2116513056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116513057) 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, 10635645 + ... + 10635843.

It is an arithmetic number, because the mean of its divisors is an integer number (18900000).

Almost surely, 22116513056 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 2116513056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800000).

2116513056 is an abundant number, since it is smaller than the sum of its proper divisors (5141086944).

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

2116513056 is a wasteful number, since it uses less digits than its factorization.

2116513056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2116513056 is about 46005.5763576547. The cubic root of 2116513056 is about 1283.9269569574.

Adding to 2116513056 its reverse (6503156112), we get a palindrome (8619669168).

The spelling of 2116513056 in words is "two billion, one hundred sixteen million, five hundred thirteen thousand, fifty-six".