Search a number
-
+
5378063520 = 253531289131
BaseRepresentation
bin1010000001000111…
…01011110010100000
3111212210202221012210
411000203223302200
542003241013040
62245354322120
7250162533324
oct50043536240
914783687183
105378063520
11230a85a7a5
121061129340
1367928c50b
14390395984
15217235480
hex1408ebca0

5378063520 has 288 divisors, whose sum is σ = 17836822080. Its totient is φ = 1361817600.

The previous prime is 5378063507. The next prime is 5378063557. The reversal of 5378063520 is 253608735.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 41053855 + ... + 41053985.

It is an arithmetic number, because the mean of its divisors is an integer number (61933410).

Almost surely, 25378063520 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 5378063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918411040).

5378063520 is an abundant number, since it is smaller than the sum of its proper divisors (12458758560).

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

5378063520 is a wasteful number, since it uses less digits than its factorization.

5378063520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5378063520 is about 73335.2815498788. The cubic root of 5378063520 is about 1752.0317648168.

The spelling of 5378063520 in words is "five billion, three hundred seventy-eight million, sixty-three thousand, five hundred twenty".