Search a number
-
+
5087388768 = 2537112321301
BaseRepresentation
bin1001011110011101…
…10110010001100000
3111010112211010102020
410233032312101200
540404332420033
62200452221440
7240033043140
oct45716662140
914115733366
105087388768
112180775530
12b9b90a880
13630ca8117
1436392c920
151eb9696b3
hex12f3b6460

5087388768 has 288 divisors, whose sum is σ = 17418385152. Its totient is φ = 1262976000.

The previous prime is 5087388767. The next prime is 5087388769. The reversal of 5087388768 is 8678837805.

It is an interprime number because it is at equal distance from previous prime (5087388767) and next prime (5087388769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5087388763) 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, 3909718 + ... + 3911018.

It is an arithmetic number, because the mean of its divisors is an integer number (60480504).

Almost surely, 25087388768 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 5087388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709192576).

5087388768 is an abundant number, since it is smaller than the sum of its proper divisors (12330996384).

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

5087388768 is a wasteful number, since it uses less digits than its factorization.

5087388768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The square root of 5087388768 is about 71325.9333482570. The cubic root of 5087388768 is about 1719.8806443228.

The spelling of 5087388768 in words is "five billion, eighty-seven million, three hundred eighty-eight thousand, seven hundred sixty-eight".