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2116460025 = 325230672
BaseRepresentation
bin111111000100110…
…1001110111111001
312110111111022100100
41332021221313321
513313303210100
6550003030013
7103306420251
oct17611516771
95414438310
102116460025
11996760819
124b096b309
13279631c14
14161132961
15c5c19400
hex7e269df9

2116460025 has 27 divisors (see below), whose sum is σ = 3792051471. Its totient is φ = 1128410640.

The previous prime is 2116459997. The next prime is 2116460081. The reversal of 2116460025 is 5200646112.

The square root of 2116460025 is 46005.

It is a perfect power (a square), and thus also a powerful number.

2116460025 is a `hidden beast` number, since 2 + 11 + 646 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 761925609 + 1354534416 = 27603^2 + 36804^2 .

It is not a de Polignac number, because 2116460025 - 211 = 2116457977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 688542 + ... + 691608.

Almost surely, 22116460025 is an apocalyptic number.

2116460025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2116460025 is the 46005-th square number.

2116460025 is the 23003-rd centered octagonal number.

It is an amenable number.

2116460025 is a deficient number, since it is larger than the sum of its proper divisors (1675591446).

2116460025 is an frugal number, since it uses more digits than its factorization.

2116460025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6150 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2116460025 is about 1283.9162335809.

The spelling of 2116460025 in words is "two billion, one hundred sixteen million, four hundred sixty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3067 9201 15335 27603 46005 76675 138015 230025 690075 9406489 28219467 47032445 84658401 141097335 235162225 423292005 705486675 2116460025