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12437556660 = 22325173722969
BaseRepresentation
bin10111001010101011…
…00000110110110100
31012002210110100020200
423211111200312310
5200433003303120
65414100000500
7620133326064
oct134525406664
935083410220
1012437556660
115302749451
1224b1390130
1312329c57a9
1485db9b3a4
154cbda1e90
hex2e5560db4

12437556660 has 216 divisors, whose sum is σ = 41069148120. Its totient is φ = 3036192768.

The previous prime is 12437556611. The next prime is 12437556661. The reversal of 12437556660 is 6665573421.

12437556660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 563967504 + 11873589156 = 23748^2 + 108966^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12437556661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4187656 + ... + 4190624.

It is an arithmetic number, because the mean of its divisors is an integer number (190134945).

Almost surely, 212437556660 is an apocalyptic number.

12437556660 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 12437556660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534574060).

12437556660 is an abundant number, since it is smaller than the sum of its proper divisors (28631591460).

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

12437556660 is a wasteful number, since it uses less digits than its factorization.

12437556660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 12437556660 in words is "twelve billion, four hundred thirty-seven million, five hundred fifty-six thousand, six hundred sixty".