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26172768401 = 1314531385609
BaseRepresentation
bin11000011000000001…
…001100000010010001
32111120000200101121122
4120120001030002101
5412100212042101
620005033132025
71614404601143
oct303001140221
974500611548
1026172768401
111011093330a
1250a525a015
1326114b4b10
1413a4028c93
15a32b2e51b
hex61804c091

26172768401 has 8 divisors (see below), whose sum is σ = 28205477160. Its totient is φ = 24142833792.

The previous prime is 26172768371. The next prime is 26172768449. The reversal of 26172768401 is 10486727162.

It is a Cunningham number, because it is equal to 1617802+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1445520400 + 24727248001 = 38020^2 + 157249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-26172768401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26172768481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673916 + ... + 711693.

It is an arithmetic number, because the mean of its divisors is an integer number (3525684645).

Almost surely, 226172768401 is an apocalyptic number.

It is an amenable number.

26172768401 is a deficient number, since it is larger than the sum of its proper divisors (2032708759).

26172768401 is a wasteful number, since it uses less digits than its factorization.

26172768401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387075.

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 26172768401 in words is "twenty-six billion, one hundred seventy-two million, seven hundred sixty-eight thousand, four hundred one".

Divisors: 1 13 1453 18889 1385609 18012917 2013289877 26172768401