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26314349171712 = 2103741191307509
BaseRepresentation
bin1011111101110110010010…
…11011110101010000000000
310110011121221020102112102020
411332323021123311100000
511422113241341443322
6131544351202521440
75354102050301340
oct576731133652000
9113147836375366
1026314349171712
118425942103888
122b4ba92366280
13118b581207484
1466d89ab98d20
1530976b0d405c
hex17eec96f5400

26314349171712 has 704 divisors, whose sum is σ = 82973466132480. Its totient is φ = 7258551091200.

The previous prime is 26314349171659. The next prime is 26314349171729. The reversal of 26314349171712 is 21717194341362.

It is a super-2 number, since 2×263143491717122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51698131714 + ... + 51698132222.

It is an arithmetic number, because the mean of its divisors is an integer number (117860037120).

Almost surely, 226314349171712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26314349171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41486733066240).

26314349171712 is an abundant number, since it is smaller than the sum of its proper divisors (56659116960768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26314349171712 is a wasteful number, since it uses less digits than its factorization.

26314349171712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1060 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 26314349171712 in words is "twenty-six trillion, three hundred fourteen billion, three hundred forty-nine million, one hundred seventy-one thousand, seven hundred twelve".