Search a number
-
+
5104369152 = 293219173337
BaseRepresentation
bin1001100000011111…
…00111111000000000
3111011201202211010100
410300033213320000
540423204303102
62202300202400
7240330264501
oct46017477000
914151684110
105104369152
11218a313103
12ba5539400
13634671c9c
14365cacba8
151ed1c0a1c
hex1303e7e00

5104369152 has 240 divisors, whose sum is σ = 15642815760. Its totient is φ = 1597833216.

The previous prime is 5104369121. The next prime is 5104369157. The reversal of 5104369152 is 2519634015.

5104369152 is a `hidden beast` number, since 510 + 4 + 3 + 6 + 91 + 52 = 666.

It is a super-3 number, since 3×51043691523 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104369157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15146328 + ... + 15146664.

It is an arithmetic number, because the mean of its divisors is an integer number (65178399).

Almost surely, 25104369152 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 5104369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821407880).

5104369152 is an abundant number, since it is smaller than the sum of its proper divisors (10538446608).

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

5104369152 is a wasteful number, since it uses less digits than its factorization.

5104369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5104369152 is about 71444.8679192565. The cubic root of 5104369152 is about 1721.7920244806.

The spelling of 5104369152 in words is "five billion, one hundred four million, three hundred sixty-nine thousand, one hundred fifty-two".