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412666228980 = 22325478812
BaseRepresentation
bin1100000000101001101…
…00101111000011110100
31110110011102022110200200
412000110310233003310
523230120023311410
6513324245240500
741546153033205
oct6002464570364
91413142273620
10412666228980
1114a013367735
1267b89103130
132cbb68199a5
1415d8a4875ac
15ab038ba3c0
hex6014d2f0f4

412666228980 has 54 divisors (see below), whose sum is σ = 1251780371478. Its totient is φ = 110042029440.

The previous prime is 412666228963. The next prime is 412666228987. The reversal of 412666228980 is 89822666214.

It can be written as a sum of positive squares in 3 ways, for example, as 206526620304 + 206139608676 = 454452^2 + 454026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412666228987) 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 17 ways as a sum of consecutive naturals, for example, 8594640 + ... + 8642520.

Almost surely, 2412666228980 is an apocalyptic number.

It is an amenable number.

412666228980 is an abundant number, since it is smaller than the sum of its proper divisors (839114142498).

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

412666228980 is an frugal number, since it uses more digits than its factorization.

412666228980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95777 (or 47891 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 412666228980 in words is "four hundred twelve billion, six hundred sixty-six million, two hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 47881 95762 143643 191524 239405 287286 430929 478810 574572 718215 861858 957620 1436430 1723716 2154645 2872860 4309290 8618580 2292590161 4585180322 6877770483 9170360644 11462950805 13755540966 20633311449 22925901610 27511081932 34388852415 41266622898 45851803220 68777704830 82533245796 103166557245 137555409660 206333114490 412666228980