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26097696000 = 28325390617
BaseRepresentation
bin11000010011100010…
…110011110100000000
32111100210102022122100
4120103202303310000
5411422002233000
615553352110400
71612503520155
oct302342636400
974323368570
1026097696000
1110082518302
125084095400
1325cba8b58c
14139808622c
15a2b250a00
hex6138b3d00

26097696000 has 216 divisors, whose sum is σ = 93908158344. Its totient is φ = 6959308800.

The previous prime is 26097695983. The next prime is 26097696019. The reversal of 26097696000 is 69679062.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 25380313344 = 26784^2 + 159312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242692 + ... + 333308.

Almost surely, 226097696000 is an apocalyptic number.

26097696000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26097696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46954079172).

26097696000 is an abundant number, since it is smaller than the sum of its proper divisors (67810462344).

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

26097696000 is an equidigital number, since it uses as much as digits as its factorization.

26097696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90654 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 26097696000 in words is "twenty-six billion, ninety-seven million, six hundred ninety-six thousand".