Search a number
-
+
5013989568 = 2632729137313
BaseRepresentation
bin1001010101101101…
…10110100011000000
3110221102201001122100
410222312312203000
540232040131233
62145311110400
7235152131250
oct45266664300
913842631570
105013989568
1121432a2635
12b7b212400
1361ba19343
14357ca3960
151e52bb813
hex12adb68c0

5013989568 has 336 divisors, whose sum is σ = 17169871680. Its totient is φ = 1368686592.

The previous prime is 5013989567. The next prime is 5013989641. The reversal of 5013989568 is 8659893105.

It is a happy number.

5013989568 is a `hidden beast` number, since 501 + 3 + 9 + 89 + 56 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5013989567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16018980 + ... + 16019292.

Almost surely, 25013989568 is an apocalyptic number.

5013989568 is a gapful number since it is divisible by the number (58) 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 5013989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8584935840).

5013989568 is an abundant number, since it is smaller than the sum of its proper divisors (12155882112).

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

5013989568 is a wasteful number, since it uses less digits than its factorization.

5013989568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5013989568 is about 70809.5302060394. The cubic root of 5013989568 is about 1711.5692499433.

The spelling of 5013989568 in words is "five billion, thirteen million, nine hundred eighty-nine thousand, five hundred sixty-eight".