Search a number
-
+
2295916076601 = 3674241106087
BaseRepresentation
bin100001011010001111010…
…000110001111000111001
322010111011100011002000000
4201122033100301320321
5300104014003422401
64514421305303213
7324605640440250
oct41321720617071
98114140132000
102295916076601
11805768852a84
12310b69794b09
13138672269454
147d1a1473797
153eac6d8a186
hex2168f431e39

2295916076601 has 56 divisors (see below), whose sum is σ = 3935021188224. Its totient is φ = 1311630330240.

The previous prime is 2295916076593. The next prime is 2295916076639. The reversal of 2295916076601 is 1066706195922.

2295916076601 is a `hidden beast` number, since 2 + 29 + 5 + 9 + 1 + 6 + 0 + 7 + 6 + 601 = 666.

It is not a de Polignac number, because 2295916076601 - 23 = 2295916076593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2295916076401) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21588780 + ... + 21694866.

It is an arithmetic number, because the mean of its divisors is an integer number (70268235504).

Almost surely, 22295916076601 is an apocalyptic number.

2295916076601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2295916076601 is a deficient number, since it is larger than the sum of its proper divisors (1639105111623).

2295916076601 is an equidigital number, since it uses as much as digits as its factorization.

2295916076601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110353 (or 110338 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2295916076601 in words is "two trillion, two hundred ninety-five billion, nine hundred sixteen million, seventy-six thousand, six hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 4241 5103 12723 29687 38169 89061 106087 114507 267183 318261 343521 742609 801549 954783 1030563 2227827 2404647 2864349 3091689 6683481 7213941 8593047 20050443 21641823 25779141 60151329 77337423 180453987 449914967 541361961 1349744901 3149404769 4049234703 9448214307 12147704109 28344642921 36443112327 85033928763 109329336981 255101786289 327988010943 765305358867 2295916076601