Search a number
-
+
5120325504 = 2732719231453
BaseRepresentation
bin1001100010011000…
…11111011110000000
3111012211210111010100
410301030133132000
540441300404004
62204030202400
7240613022460
oct46114373600
914184714110
105120325504
112198321378
12baa953400
13637a6aa08
14368063ba0
151ee7c3739
hex13131f780

5120325504 has 384 divisors, whose sum is σ = 18508838400. Its totient is φ = 1324781568.

The previous prime is 5120325503. The next prime is 5120325541. The reversal of 5120325504 is 4055230215.

It is a happy number.

5120325504 is a `hidden beast` number, since 5 + 120 + 32 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5120325503) 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, 3523242 + ... + 3524694.

It is an arithmetic number, because the mean of its divisors is an integer number (48200100).

Almost surely, 25120325504 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 5120325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254419200).

5120325504 is an abundant number, since it is smaller than the sum of its proper divisors (13388512896).

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

5120325504 is a wasteful number, since it uses less digits than its factorization.

5120325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5120325504 is about 71556.4497721903. The cubic root of 5120325504 is about 1723.5842761010.

Adding to 5120325504 its reverse (4055230215), we get a palindrome (9175555719).

The spelling of 5120325504 in words is "five billion, one hundred twenty million, three hundred twenty-five thousand, five hundred four".