Search a number
-
+
45812984490 = 2325713193773109
BaseRepresentation
bin101010101010101010…
…101010101010101010
311101020210012202010100
4222222222222222222
51222311111000430
633013551130230
73211200641310
oct525252525252
9141223182110
1045812984490
111847a265359
128a66813976
13442148c160
1423086180b0
1512d1ecc960
hexaaaaaaaaa

45812984490 has 768 divisors, whose sum is σ = 162133171200. Its totient is φ = 8707129344.

The previous prime is 45812984467. The next prime is 45812984533. The reversal of 45812984490 is 9448921854.

It is a happy number.

45812984490 is a `hidden beast` number, since 4 + 58 + 1 + 29 + 84 + 490 = 666.

45812984490 is nontrivially palindromic in base 4 and base 16.

45812984490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

45812984490 is an esthetic number in base 2, because in such base its adjacent digits differ by 1.

45812984490 is an undulating number in base 2 and base 8.

45812984490 is a nontrivial repdigit in base 4 and base 16.

It is a plaindrome in base 4 and base 16.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 420302556 + ... + 420302664.

It is an arithmetic number, because the mean of its divisors is an integer number (211110900).

Almost surely, 245812984490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45812984490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81066585600).

45812984490 is an abundant number, since it is smaller than the sum of its proper divisors (116320186710).

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

45812984490 is a wasteful number, since it uses less digits than its factorization.

45812984490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 45812984490 in words is "forty-five billion, eight hundred twelve million, nine hundred eighty-four thousand, four hundred ninety".