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26041245129 = 32537912
BaseRepresentation
bin11000010000001011…
…011101110111001001
32111012212012022121100
4120100023131313021
5411313024321004
615544014132013
71611216634314
oct302013356711
974185168540
1026041245129
1110053670999
1250691b1009
1325c0184bb3
14139078d97b
15a262ee739
hex6102dddc9

26041245129 has 9 divisors (see below), whose sum is σ = 37615831149. Its totient is φ = 17360507340.

The previous prime is 26041245089. The next prime is 26041245137. The reversal of 26041245129 is 92154214062.

It is a happy number.

The square root of 26041245129 is 161373.

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

26041245129 is a `hidden beast` number, since 2 + 604 + 1 + 2 + 45 + 1 + 2 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 26041245129 - 27 = 26041245001 is a prime.

It is a super-3 number, since 3×260412451293 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26041245093 and 26041245102.

It is not an unprimeable number, because it can be changed into a prime (26041245149) 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, 457224 + ... + 511014.

Almost surely, 226041245129 is an apocalyptic number.

26041245129 is the 161373-rd square number.

26041245129 is the 80687-th centered octagonal number.

It is an amenable number.

26041245129 is a deficient number, since it is larger than the sum of its proper divisors (11574586020).

26041245129 is an frugal number, since it uses more digits than its factorization.

26041245129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107588 (or 53794 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 26041245129 by its sum of digits (36), we get a square (937484824644 = 9682382).

The spelling of 26041245129 in words is "twenty-six billion, forty-one million, two hundred forty-five thousand, one hundred twenty-nine".

Divisors: 1 3 9 53791 161373 484119 2893471681 8680415043 26041245129