Search a number
-
+
5607465136 = 24721319231259
BaseRepresentation
bin1010011100011101…
…10010000010110000
3112110210102202001221
411032032302002300
542441002341021
62324231234424
7255646444600
oct51616620260
915423382057
105607465136
1124182a4609
121105b18a14
136b496c310
143b2a2cc00
1522c44b241
hex14e3b20b0

5607465136 has 240 divisors, whose sum is σ = 14961542400. Its totient is φ = 2008613376.

The previous prime is 5607465131. The next prime is 5607465151. The reversal of 5607465136 is 6315647065.

It is a junction number, because it is equal to n+sod(n) for n = 5607465092 and 5607465101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5607465131) 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, 4453275 + ... + 4454533.

It is an arithmetic number, because the mean of its divisors is an integer number (62339760).

Almost surely, 25607465136 is an apocalyptic number.

5607465136 is a gapful number since it is divisible by the number (56) 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 5607465136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480771200).

5607465136 is an abundant number, since it is smaller than the sum of its proper divisors (9354077264).

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

5607465136 is a wasteful number, since it uses less digits than its factorization.

5607465136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The square root of 5607465136 is about 74883.0096617384. The cubic root of 5607465136 is about 1776.5967393173.

The spelling of 5607465136 in words is "five billion, six hundred seven million, four hundred sixty-five thousand, one hundred thirty-six".