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26856326641 = 29256512
BaseRepresentation
bin11001000000110000…
…110000010111110001
32120022122220202020111
4121000300300113301
5420000204423031
620200532141321
71640345003254
oct310060602761
976278822214
1026856326641
1110431772781
125256167841
1326bccb8551
14142ab2309b
15a72b551b1
hex640c305f1

26856326641 has 9 divisors (see below), whose sum is σ = 27819263563. Its totient is φ = 25925657800.

The previous prime is 26856326639. The next prime is 26856326677. The reversal of 26856326641 is 14662365862.

The square root of 26856326641 is 163879.

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., 14082806241 + 12773520400 = 118671^2 + 113020^2 .

It is not a de Polignac number, because 26856326641 - 21 = 26856326639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26856326621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4749666 + ... + 4755316.

Almost surely, 226856326641 is an apocalyptic number.

26856326641 is the 163879-th square number.

26856326641 is the 81940-th centered octagonal number.

It is an amenable number.

26856326641 is a deficient number, since it is larger than the sum of its proper divisors (962936922).

26856326641 is an frugal number, since it uses more digits than its factorization.

26856326641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360 (or 5680 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

Multiplying 26856326641 by its sum of digits (49), we get a square (1315960005409 = 11471532).

The spelling of 26856326641 in words is "twenty-six billion, eight hundred fifty-six million, three hundred twenty-six thousand, six hundred forty-one".

Divisors: 1 29 841 5651 163879 4752491 31933801 926080229 26856326641