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6164605225 = 524123832
BaseRepresentation
bin1011011110111000…
…00110100100101001
3120220121210101121001
411233130012210221
5100111114331400
62455412515001
7305523164662
oct55734064451
916817711531
106164605225
112683839169
12124061ba61
1377320c6cc
14426a1a369
152612eea6a
hex16f706929

6164605225 has 27 divisors (see below), whose sum is σ = 7855610149. Its totient is φ = 4798836800.

The previous prime is 6164605193. The next prime is 6164605241. The reversal of 6164605225 is 5225064616.

The square root of 6164605225 is 78515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2594781721 + 3569823504 = 50939^2 + 59748^2 .

It is not a de Polignac number, because 6164605225 - 25 = 6164605193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16095384 + ... + 16095766.

Almost surely, 26164605225 is an apocalyptic number.

6164605225 is the 78515-th square number.

6164605225 is the 39258-th centered octagonal number.

It is an amenable number.

6164605225 is a deficient number, since it is larger than the sum of its proper divisors (1691004924).

6164605225 is an frugal number, since it uses more digits than its factorization.

6164605225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 6164605225 is about 1833.5879942847.

The spelling of 6164605225 in words is "six billion, one hundred sixty-four million, six hundred five thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 383 1025 1681 1915 8405 9575 15703 42025 78515 146689 392575 643823 733445 3219115 3667225 6014249 16095575 30071245 150356225 246584209 1232921045 6164605225