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26382097431 = 3231412306329
BaseRepresentation
bin11000100100011111…
…101101110000010111
32112002121120102001200
4120210133231300113
5413012304104211
620041511523543
71622526061644
oct304437556027
975077512050
1026382097431
1110209008308
1251433895b3
132645987451
1413c3b58dcb
15a461ccb56
hex6247edc17

26382097431 has 24 divisors (see below), whose sum is σ = 40296197760. Its totient is φ = 16605561600.

The previous prime is 26382097421. The next prime is 26382097439. The reversal of 26382097431 is 13479028362.

26382097431 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 209 + 7 + 431 = 666.

It is not a de Polignac number, because 26382097431 - 26 = 26382097367 is a prime.

It is a super-2 number, since 2×263820974312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26382097439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141726 + ... + 1164603.

It is an arithmetic number, because the mean of its divisors is an integer number (1679008240).

Almost surely, 226382097431 is an apocalyptic number.

26382097431 is a deficient number, since it is larger than the sum of its proper divisors (13914100329).

26382097431 is a wasteful number, since it uses less digits than its factorization.

26382097431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306407 (or 2306404 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26382097431 in words is "twenty-six billion, three hundred eighty-two million, ninety-seven thousand, four hundred thirty-one".

Divisors: 1 3 9 31 41 93 123 279 369 1271 3813 11439 2306329 6918987 20756961 71496199 94559489 214488597 283678467 643465791 851035401 2931344159 8794032477 26382097431