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26900264169 = 3223223772
BaseRepresentation
bin11001000011011000…
…010111010011101001
32120102201121000012100
4121003120113103221
5420042431423134
620205142004013
71641420321102
oct310330272351
976381530170
1026900264169
1110454552689
125268a16609
1326c913039c
1414328bd3a9
15a76933999
hex6436174e9

26900264169 has 27 divisors (see below), whose sum is σ = 40635872823. Its totient is φ = 17146575072.

The previous prime is 26900264119. The next prime is 26900264173. The reversal of 26900264169 is 96146200962.

The square root of 26900264169 is 164013.

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

It can be written as a sum of positive squares in only one way, i.e., 10640954025 + 16259310144 = 103155^2 + 127512^2 .

It is not a de Polignac number, because 26900264169 - 217 = 26900133097 is a prime.

It is a super-2 number, since 2×269002641692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26900264119) by changing a digit.

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, 11315709 + ... + 11318085.

Almost surely, 226900264169 is an apocalyptic number.

26900264169 is the 164013-rd square number.

26900264169 is the 82007-th centered octagonal number.

It is an amenable number.

26900264169 is a deficient number, since it is larger than the sum of its proper divisors (13735608654).

26900264169 is an frugal number, since it uses more digits than its factorization.

26900264169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 26900264169 in words is "twenty-six billion, nine hundred million, two hundred sixty-four thousand, one hundred sixty-nine".

Divisors: 1 3 9 23 69 207 529 1587 2377 4761 7131 21393 54671 164013 492039 1257433 3772299 5650129 11316897 16950387 50851161 129952967 389858901 1169576703 2988918241 8966754723 26900264169