Search a number
-
+
76520160000 = 28335417713
BaseRepresentation
bin100011101000011110…
…1001111101100000000
321022111211011212221000
41013100331033230000
52223203130110000
655053004332000
75346145425324
oct1072075175400
9238454155830
1076520160000
112a4a76a9859
12129b6544000
1372a62066ab
1439bc947984
151eccc45000
hex11d0f4fb00

76520160000 has 360 divisors, whose sum is σ = 282779918960. Its totient is φ = 20404224000.

The previous prime is 76520159957. The next prime is 76520160049. The reversal of 76520160000 is 6102567.

76520160000 is a `hidden beast` number, since 7 + 6 + 52 + 0 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4311144 + ... + 4328856.

Almost surely, 276520160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76520160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141389959480).

76520160000 is an abundant number, since it is smaller than the sum of its proper divisors (206259758960).

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

76520160000 is an equidigital number, since it uses as much as digits as its factorization.

76520160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17758 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 76520160000 its reverse (6102567), we get a palindrome (76526262567).

The spelling of 76520160000 in words is "seventy-six billion, five hundred twenty million, one hundred sixty thousand".