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26026400929 = 29255632
BaseRepresentation
bin11000001111010010…
…110101110010100001
32111011211021011012011
4120033102311302201
5411300224312204
615542324032521
71610646520624
oct301722656241
974154234164
1026026400929
1110046252261
125064232741
1325ba088449
14138c807dbb
15a24d6b304
hex60f4b5ca1

26026400929 has 9 divisors (see below), whose sum is σ = 26959656243. Its totient is φ = 25124421672.

The previous prime is 26026400909. The next prime is 26026400941. The reversal of 26026400929 is 92900462062.

It is a happy number.

The square root of 26026400929 is 161327.

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., 13647613329 + 12378787600 = 116823^2 + 111260^2 .

It is a de Polignac number, because none of the positive numbers 2k-26026400929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26026400891 and 26026400900.

It is not an unprimeable number, because it can be changed into a prime (26026400909) 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 8 ways as a sum of consecutive naturals, for example, 4675702 + ... + 4681264.

Almost surely, 226026400929 is an apocalyptic number.

26026400929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

26026400929 is the 161327-th square number.

26026400929 is the 80664-th centered octagonal number.

It is an amenable number.

26026400929 is a deficient number, since it is larger than the sum of its proper divisors (933255314).

26026400929 is an frugal number, since it uses more digits than its factorization.

26026400929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11184 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 26026400929 in words is "twenty-six billion, twenty-six million, four hundred thousand, nine hundred twenty-nine".

Divisors: 1 29 841 5563 161327 4678483 30946969 897462101 26026400929