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26401512325 = 524127979209
BaseRepresentation
bin11000100101101001…
…110001101110000101
32112010222002210021211
4120211221301232011
5413032241343300
620043444011421
71623153103066
oct304551615605
975128083254
1026401512325
1110218a68a81
125149990b71
1326499c4456
1413c657056d
15a47c654ba
hex625a71b85

26401512325 has 24 divisors (see below), whose sum is σ = 33551993160. Its totient is φ = 20596454400.

The previous prime is 26401512317. The next prime is 26401512373. The reversal of 26401512325 is 52321510462.

It can be written as a sum of positive squares in 12 ways, for example, as 15793954276 + 10607558049 = 125674^2 + 102993^2 .

It is not a de Polignac number, because 26401512325 - 23 = 26401512317 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2862321 + ... + 2871529.

It is an arithmetic number, because the mean of its divisors is an integer number (1397999715).

Almost surely, 226401512325 is an apocalyptic number.

26401512325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26401512325 is a deficient number, since it is larger than the sum of its proper divisors (7150480835).

26401512325 is a wasteful number, since it uses less digits than its factorization.

26401512325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 26401512325 in words is "twenty-six billion, four hundred one million, five hundred twelve thousand, three hundred twenty-five".

Divisors: 1 5 25 41 205 1025 2797 9209 13985 46045 69925 114677 230225 377569 573385 1887845 2866925 9439225 25757573 128787865 643939325 1056060493 5280302465 26401512325