Search a number
-
+
12276541160 = 235131797103139
BaseRepresentation
bin10110110111011110…
…10010011011101000
31011200120110220111122
423123233102123220
5200120243304120
65350104514412
7613136610122
oct133357223350
934616426448
1012276541160
11522a873094
12246747ba08
13120853aa50
14846646212
154bcb98a25
hex2dbbd26e8

12276541160 has 256 divisors, whose sum is σ = 32361638400. Its totient is φ = 4151181312.

The previous prime is 12276541139. The next prime is 12276541163. The reversal of 12276541160 is 6114567221.

It is a self number, because there is not a number n which added to its sum of digits gives 12276541160.

It is not an unprimeable number, because it can be changed into a prime (12276541163) 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, 88320371 + ... + 88320509.

It is an arithmetic number, because the mean of its divisors is an integer number (126412650).

Almost surely, 212276541160 is an apocalyptic number.

12276541160 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 12276541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180819200).

12276541160 is an abundant number, since it is smaller than the sum of its proper divisors (20085097240).

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

12276541160 is a wasteful number, since it uses less digits than its factorization.

12276541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 12276541160 in words is "twelve billion, two hundred seventy-six million, five hundred forty-one thousand, one hundred sixty".