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26345509969 = 2941932
BaseRepresentation
bin11000100010010100…
…001001010001010001
32112000001201120111111
4120202110021101101
5412423422304334
620034123413321
71621603065652
oct304224112121
975001646444
1026345509969
111019a398639
125133084241
13263b216c6c
1413bcd53529
15a42da2064
hex622509451

26345509969 has 15 divisors (see below), whose sum is σ = 27428532663. Its totient is φ = 25305245952.

The previous prime is 26345509963. The next prime is 26345509979. The reversal of 26345509969 is 96990554362.

The square root of 26345509969 is 162313.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18830700625 + 7514809344 = 137225^2 + 86688^2 .

It is a de Polignac number, because none of the positive numbers 2k-26345509969 is a prime.

It is a super-2 number, since 2×263455099692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26345509963) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 136505137 + ... + 136505329.

Almost surely, 226345509969 is an apocalyptic number.

26345509969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

26345509969 is the 162313-rd square number.

26345509969 is the 81157-th centered octagonal number.

It is an amenable number.

26345509969 is a deficient number, since it is larger than the sum of its proper divisors (1083022694).

26345509969 is an frugal number, since it uses more digits than its factorization.

26345509969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 58.

The spelling of 26345509969 in words is "twenty-six billion, three hundred forty-five million, five hundred nine thousand, nine hundred sixty-nine".

Divisors: 1 29 193 841 5597 24389 37249 162313 707281 1080221 4707077 31326409 136505233 908465861 26345509969