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26696039246041 = 114427012
BaseRepresentation
bin1100001000111101001111…
…11011111010100011011001
310111112010010212122022021211
412010132213323322203121
511444341442021333131
6132435554025503121
75423503511351014
oct604364773724331
9114463125568254
1026696039246041
1185627aa210000
122bb1a55641aa1
1311b856c350669
146841492d637b
1531465a3045b1
hex1847a7efa8d9

26696039246041 has 15 divisors (see below), whose sum is σ = 29366148548815. Its totient is φ = 24268558237000.

The previous prime is 26696039246003. The next prime is 26696039246111. The reversal of 26696039246041 is 14064293069662.

It is a happy number.

The square root of 26696039246041 is 5166821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25032300426441 + 1663738819600 = 5003229^2 + 1289860^2 .

It is not a de Polignac number, because 26696039246041 - 213 = 26696039237849 is a prime.

It is a super-2 number, since 2×266960392460412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26696039246641) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 625163991 + ... + 625206691.

Almost surely, 226696039246041 is an apocalyptic number.

26696039246041 is the 5166821-st square number.

26696039246041 is the 2583411-st centered octagonal number.

It is an amenable number.

26696039246041 is a deficient number, since it is larger than the sum of its proper divisors (2670109302774).

26696039246041 is an frugal number, since it uses more digits than its factorization.

26696039246041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85446 (or 42712 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 26696039246041 in words is "twenty-six trillion, six hundred ninety-six billion, thirty-nine million, two hundred forty-six thousand, forty-one".

Divisors: 1 11 121 1331 14641 42701 469711 5166821 56835031 625185341 1823375401 20057129411 220628423521 2426912658731 26696039246041