Search a number
-
+
5012640864 = 2532711220549
BaseRepresentation
bin1001010101100011…
…01101010001100000
3110221100011112120100
410222301231101200
540231214001424
62145222142400
7235134513210
oct45261552140
913840145510
105012640864
112142561300
12b7a881a00
1361b6664aa
14357a32240
151e5101dc9
hex12ac6d460

5012640864 has 216 divisors, whose sum is σ = 17907598800. Its totient is φ = 1301921280.

The previous prime is 5012640833. The next prime is 5012640949. The reversal of 5012640864 is 4680462105.

5012640864 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 640 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233662 + ... + 254210.

It is an arithmetic number, because the mean of its divisors is an integer number (82905550).

Almost surely, 25012640864 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 5012640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8953799400).

5012640864 is an abundant number, since it is smaller than the sum of its proper divisors (12894957936).

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

5012640864 is a wasteful number, since it uses less digits than its factorization.

5012640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20594 (or 20572 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5012640864 is about 70800.0061016947. The cubic root of 5012640864 is about 1711.4157722073.

The spelling of 5012640864 in words is "five billion, twelve million, six hundred forty thousand, eight hundred sixty-four".