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26226060120 = 23345132292719
BaseRepresentation
bin11000011011001100…
…011110101101011000
32111200201221220010000
4120123030132231120
5412202332410440
620014215253000
71615622555451
oct303314365530
974621856100
1026226060120
1110138a22157
1250bb07a160
13261c553590
1413ab13c128
15a37659730
hex61b31eb58

26226060120 has 320 divisors, whose sum is σ = 95378976000. Its totient is φ = 6425091072.

The previous prime is 26226060101. The next prime is 26226060121. The reversal of 26226060120 is 2106062262.

26226060120 is a `hidden beast` number, since 26 + 22 + 606 + 0 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26226060121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9644121 + ... + 9646839.

It is an arithmetic number, because the mean of its divisors is an integer number (298059300).

Almost surely, 226226060120 is an apocalyptic number.

26226060120 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 26226060120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47689488000).

26226060120 is an abundant number, since it is smaller than the sum of its proper divisors (69152915880).

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

26226060120 is a wasteful number, since it uses less digits than its factorization.

26226060120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 26226060120 in words is "twenty-six billion, two hundred twenty-six million, sixty thousand, one hundred twenty".