Search a number
-
+
4995211254768 = 24327231412931901
BaseRepresentation
bin100100010110000100111…
…0010101101101111110000
3122200112111212020122220200
41020230021302231233300
51123320143040123033
614342433545035200
71023614664045600
oct110541162555760
918615455218820
104995211254768
11165650358a379
12688132185b00
132a307ac306c7
14133aab796c00
1589e0c0e9013
hex48b09cadbf0

4995211254768 has 720 divisors, whose sum is σ = 17263824544512. Its totient is φ = 1342172160000.

The previous prime is 4995211254767. The next prime is 4995211254779. The reversal of 4995211254768 is 8674521125994.

4995211254768 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 21 + 1 + 2 + 547 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4995211254767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2627674618 + ... + 2627676518.

Almost surely, 24995211254768 is an apocalyptic number.

4995211254768 is a gapful number since it is divisible by the number (48) 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 4995211254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631912272256).

4995211254768 is an abundant number, since it is smaller than the sum of its proper divisors (12268613289744).

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

4995211254768 is a wasteful number, since it uses less digits than its factorization.

4995211254768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2278 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 4995211254768 in words is "four trillion, nine hundred ninety-five billion, two hundred eleven million, two hundred fifty-four thousand, seven hundred sixty-eight".