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26312364842401 = 112217457560681
BaseRepresentation
bin1011111101110010100110…
…01010001101110110100001
310110011102210221120011100001
411332321103022031312201
511422100210344424101
6131543422235500001
75354001633624601
oct576712312156641
9113142727504301
1026312364842401
118425013a9a900
122b4b6198b7601
13118b326088b11
1466d74d41cc01
153096a1cb9901
hex17ee5328dda1

26312364842401 has 6 divisors (see below), whose sum is σ = 28921855570706. Its totient is φ = 23920331674800.

The previous prime is 26312364842389. The next prime is 26312364842441. The reversal of 26312364842401 is 10424846321362.

It can be written as a sum of positive squares in only one way, i.e., 13938686237025 + 12373678605376 = 3733455^2 + 3517624^2 .

It is not a de Polignac number, because 26312364842401 - 241 = 24113341586849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26312364842441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108728780220 + ... + 108728780461.

Almost surely, 226312364842401 is an apocalyptic number.

It is an amenable number.

26312364842401 is a deficient number, since it is larger than the sum of its proper divisors (2609490728305).

26312364842401 is a wasteful number, since it uses less digits than its factorization.

26312364842401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217457560703 (or 217457560692 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

It can be divided in two parts, 26312364 and 842401, that added together give a triangular number (27154765 = T7369).

The spelling of 26312364842401 in words is "twenty-six trillion, three hundred twelve billion, three hundred sixty-four million, eight hundred forty-two thousand, four hundred one".

Divisors: 1 11 121 217457560681 2392033167491 26312364842401