Search a number
-
+
45348333030 = 233571113198831
BaseRepresentation
bin101010001110111110…
…001010010111100110
311100001101220000011000
4222032332022113212
51220333133124110
632455512054130
73163526320320
oct521676122746
9140041800130
1045348333030
1118260a51890
128957094346
134379132670
1422a2a24610
1512a62e81c0
hexa8ef8a5e6

45348333030 has 512 divisors, whose sum is σ = 170930995200. Its totient is φ = 8239449600.

The previous prime is 45348333029. The next prime is 45348333031. The reversal of 45348333030 is 3033384354.

45348333030 is a `hidden beast` number, since 4 + 5 + 348 + 3 + 3 + 303 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45348333029) and next prime (45348333031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45348333031) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5130715 + ... + 5139545.

It is an arithmetic number, because the mean of its divisors is an integer number (333849600).

Almost surely, 245348333030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45348333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85465497600).

45348333030 is an abundant number, since it is smaller than the sum of its proper divisors (125582662170).

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

45348333030 is a wasteful number, since it uses less digits than its factorization.

45348333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 45348333030 in words is "forty-five billion, three hundred forty-eight million, three hundred thirty-three thousand, thirty".