Search a number
-
+
26528972801 is a prime number
BaseRepresentation
bin11000101101010000…
…000000000000000001
32112110211221110012012
4120231100000000001
5413312404112201
620104235542305
71626261356012
oct305520000001
975424843165
1026528972801
1110283a05a11
1251845ba995
13266a231056
1413d946d009
15a540415bb
hex62d400001

26528972801 has 2 divisors, whose sum is σ = 26528972802. Its totient is φ = 26528972800.

The previous prime is 26528972791. The next prime is 26528972807. The reversal of 26528972801 is 10827982562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24585926401 + 1943046400 = 156799^2 + 44080^2 .

It is a cyclic number.

It is not a de Polignac number, because 26528972801 - 218 = 26528710657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 26528972801.

It is not a weakly prime, because it can be changed into another prime (26528972807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13264486400 + 13264486401.

It is an arithmetic number, because the mean of its divisors is an integer number (13264486401).

It is a Proth number, since it is equal to 6325 ⋅ 222 + 1 and 6325 < 222.

Almost surely, 226528972801 is an apocalyptic number.

It is an amenable number.

26528972801 is a deficient number, since it is larger than the sum of its proper divisors (1).

26528972801 is an equidigital number, since it uses as much as digits as its factorization.

26528972801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 26528972801 in words is "twenty-six billion, five hundred twenty-eight million, nine hundred seventy-two thousand, eight hundred one".