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12263359680 = 26325112132707
BaseRepresentation
bin10110110101111010…
…00000010011000000
31011122122200012220200
423122331000103000
5200103410002210
65344514205200
7612616560135
oct133275002300
934578605820
1012263359680
11522338a700
122462b83800
1312058a4060
148449b458c
154bb9430c0
hex2daf404c0

12263359680 has 504 divisors, whose sum is σ = 49948984176. Its totient is φ = 2743234560.

The previous prime is 12263359637. The next prime is 12263359687. The reversal of 12263359680 is 8695336221.

12263359680 is a `hidden beast` number, since 1 + 2 + 2 + 633 + 5 + 9 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12263359687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4528887 + ... + 4531593.

Almost surely, 212263359680 is an apocalyptic number.

12263359680 is a gapful number since it is divisible by the number (10) 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 12263359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24974492088).

12263359680 is an abundant number, since it is smaller than the sum of its proper divisors (37685624496).

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

12263359680 is a wasteful number, since it uses less digits than its factorization.

12263359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12263359680 in words is "twelve billion, two hundred sixty-three million, three hundred fifty-nine thousand, six hundred eighty".