Search a number
-
+
45452206080 = 21333573563
BaseRepresentation
bin101010010101001010…
…011010000000000000
311100022122100022012000
4222111022122000000
51221041231043310
632514102304000
73166230243231
oct522512320000
9140278308160
1045452206080
1118304649186
128985a28000
134394800cc8
1422b2743088
1512b04b54c0
hexa9529a000

45452206080 has 448 divisors, whose sum is σ = 164102613120. Its totient is φ = 11933319168.

The previous prime is 45452206069. The next prime is 45452206097. The reversal of 45452206080 is 8060225454.

It is a happy number.

45452206080 is a `hidden beast` number, since 4 + 5 + 45 + 2 + 2 + 0 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80731879 + ... + 80732441.

Almost surely, 245452206080 is an apocalyptic number.

45452206080 is a gapful number since it is divisible by the number (40) 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 45452206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82051306560).

45452206080 is an abundant number, since it is smaller than the sum of its proper divisors (118650407040).

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

45452206080 is an equidigital number, since it uses as much as digits as its factorization.

45452206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 45452206080 in words is "forty-five billion, four hundred fifty-two million, two hundred six thousand, eighty".