Search a number
-
+
45231466661260 = 2251122913118312687
BaseRepresentation
bin10100100100011010001011…
…00000001100010110001100
312221011002022200101211121121
422102031011200030112030
521412033020431130020
6240111014322410324
712345602624004115
oct1222150540142614
9187132280354547
1045231466661260
1113459614826100
1250a61b28009a4
131c31402b61689
14b2530109320c
1553689314cbaa
hex29234580c58c

45231466661260 has 288 divisors, whose sum is σ = 108930839592960. Its totient is φ = 15744945216000.

The previous prime is 45231466661237. The next prime is 45231466661327. The reversal of 45231466661260 is 6216666413254.

It is a junction number, because it is equal to n+sod(n) for n = 45231466661198 and 45231466661207.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16833443637 + ... + 16833446323.

It is an arithmetic number, because the mean of its divisors is an integer number (378232081920).

Almost surely, 245231466661260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45231466661260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54465419796480).

45231466661260 is an abundant number, since it is smaller than the sum of its proper divisors (63699372931700).

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

45231466661260 is a wasteful number, since it uses less digits than its factorization.

45231466661260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 45231466661260 in words is "forty-five trillion, two hundred thirty-one billion, four hundred sixty-six million, six hundred sixty-one thousand, two hundred sixty".