Search a number
-
+
5145041160 = 2333573171943
BaseRepresentation
bin1001100101010101…
…10001100100001000
3111021120022011122000
410302222301210020
541014112304120
62210312031000
7241333062000
oct46252614410
914246264560
105145041160
112200272636
12bb7092460
1363cc1266c
1436b459000
15201a56990
hex132ab1908

5145041160 has 1024 divisors, whose sum is σ = 22809600000. Its totient is φ = 1024192512.

The previous prime is 5145041149. The next prime is 5145041173. The reversal of 5145041160 is 611405415.

5145041160 is a `hidden beast` number, since 51 + 450 + 4 + 1 + 160 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119652099 + ... + 119652141.

It is an arithmetic number, because the mean of its divisors is an integer number (22275000).

Almost surely, 25145041160 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 5145041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800000).

5145041160 is an abundant number, since it is smaller than the sum of its proper divisors (17664558840).

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

5145041160 is a wasteful number, since it uses less digits than its factorization.

5145041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5145041160 is about 71728.9422757648. The cubic root of 5145041160 is about 1726.3530556149.

Adding to 5145041160 its reverse (611405415), we get a palindrome (5756446575).

The spelling of 5145041160 in words is "five billion, one hundred forty-five million, forty-one thousand, one hundred sixty".