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26439414016 = 281757710529
BaseRepresentation
bin11000100111111010…
…010111000100000000
32112020121102101122011
4120213322113010000
5413121442222031
620051320222304
71624123211461
oct304772270400
975217371564
1026439414016
11102383a6094
12515a60a994
132654804ba2
1413cb5d8d68
15a4b2506b1
hex627e97100

26439414016 has 72 divisors (see below), whose sum is σ = 55982155320. Its totient is φ = 12419334144.

The previous prime is 26439413983. The next prime is 26439414049. The reversal of 26439414016 is 61041493462.

It is an interprime number because it is at equal distance from previous prime (26439413983) and next prime (26439414049).

It can be written as a sum of positive squares in 4 ways, for example, as 20077756416 + 6361657600 = 141696^2 + 79760^2 .

It is a super-2 number, since 2×264394140162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26439414016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2505840 + ... + 2516368.

It is an arithmetic number, because the mean of its divisors is an integer number (777529935).

Almost surely, 226439414016 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 26439414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27991077660).

26439414016 is an abundant number, since it is smaller than the sum of its proper divisors (29542741304).

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

26439414016 is a wasteful number, since it uses less digits than its factorization.

26439414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 26439414016 in words is "twenty-six billion, four hundred thirty-nine million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 577 1088 1154 2176 2308 4352 4616 9232 9809 10529 18464 19618 21058 36928 39236 42116 73856 78472 84232 147712 156944 168464 178993 313888 336928 357986 627776 673856 715972 1255552 1347712 1431944 2511104 2695424 2863888 5727776 6075233 11455552 12150466 22911104 24300932 45822208 48601864 97203728 103278961 194407456 206557922 388814912 413115844 777629824 826231688 1555259648 1652463376 3304926752 6609853504 13219707008 26439414016