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12263961540 = 22351937479607
BaseRepresentation
bin10110110101111110…
…10011001111000100
31011122200210210111210
423122333103033010
5200104033232130
65344535131420
7612624644625
oct133277231704
934580723453
1012263961540
115223760906
122463213b70
131205a54c9c
14844acda4c
154bba115b0
hex2dafd33c4

12263961540 has 192 divisors, whose sum is σ = 37262131200. Its totient is φ = 3003277824.

The previous prime is 12263961539. The next prime is 12263961547. The reversal of 12263961540 is 4516936221.

It is not an unprimeable number, because it can be changed into a prime (12263961547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20203917 + ... + 20204523.

It is an arithmetic number, because the mean of its divisors is an integer number (194073600).

Almost surely, 212263961540 is an apocalyptic number.

12263961540 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 12263961540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18631065600).

12263961540 is an abundant number, since it is smaller than the sum of its proper divisors (24998169660).

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

12263961540 is a wasteful number, since it uses less digits than its factorization.

12263961540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12263961540 in words is "twelve billion, two hundred sixty-three million, nine hundred sixty-one thousand, five hundred forty".