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26057384929 = 33724792
BaseRepresentation
bin11000010001001001…
…000010001111100001
32111020222120022020201
4120101021002033201
5411331142304204
615545352105201
71611504055162
oct302111021741
974228508221
1026057384929
1110061794a74
125072695201
1325c3616284
141392991769
15a2793b9a4
hex6112423e1

26057384929 has 9 divisors (see below), whose sum is σ = 26189611347. Its totient is φ = 25925825184.

The previous prime is 26057384923. The next prime is 26057384953. The reversal of 26057384929 is 92948375062.

The square root of 26057384929 is 161423.

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., 7026630625 + 19030754304 = 83825^2 + 137952^2 .

It is not a de Polignac number, because 26057384929 - 23 = 26057384921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26057384929.

It is not an unprimeable number, because it can be changed into a prime (26057384921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54399312 + ... + 54399790.

Almost surely, 226057384929 is an apocalyptic number.

26057384929 is the 161423-rd square number.

26057384929 is the 80712-nd centered octagonal number.

It is an amenable number.

26057384929 is a deficient number, since it is larger than the sum of its proper divisors (132226418).

26057384929 is an frugal number, since it uses more digits than its factorization.

26057384929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 26057384929 in words is "twenty-six billion, fifty-seven million, three hundred eighty-four thousand, nine hundred twenty-nine".

Divisors: 1 337 479 113569 161423 229441 54399551 77321617 26057384929