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26013696000 = 2153532973
BaseRepresentation
bin11000001110100010…
…011000000000000000
32111010221100200022020
4120032202120000000
5411234001233000
615541151441440
71610433524205
oct301642300000
974127320266
1026013696000
111003a064916
12505bb26280
1325b755a636
14138ac5bcac
15a23babba0
hex60e898000

26013696000 has 512 divisors, whose sum is σ = 90784324800. Its totient is φ = 6606028800.

The previous prime is 26013695977. The next prime is 26013696011. The reversal of 26013696000 is 69631062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356351964 + ... + 356352036.

Almost surely, 226013696000 is an apocalyptic number.

26013696000 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 26013696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45392162400).

26013696000 is an abundant number, since it is smaller than the sum of its proper divisors (64770628800).

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

26013696000 is an frugal number, since it uses more digits than its factorization.

26013696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 26013696000 in words is "twenty-six billion, thirteen million, six hundred ninety-six thousand".