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5012682192 = 243372397743
BaseRepresentation
bin1001010101100011…
…10111010111010000
3110221100020122021000
410222301313113100
540231221312232
62145223102000
7235135044540
oct45261672720
913840218230
105012682192
11214258a361
12b7a8a1900
1361b67c24b
14357a43320
151e510e27c
hex12ac775d0

5012682192 has 320 divisors, whose sum is σ = 17358888960. Its totient is φ = 1353977856.

The previous prime is 5012682173. The next prime is 5012682197. The reversal of 5012682192 is 2912862105.

5012682192 is a `hidden beast` number, since 501 + 2 + 68 + 2 + 1 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012682197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6746173 + ... + 6746915.

It is an arithmetic number, because the mean of its divisors is an integer number (54246528).

Almost surely, 25012682192 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 5012682192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679444480).

5012682192 is an abundant number, since it is smaller than the sum of its proper divisors (12346206768).

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

5012682192 is a wasteful number, since it uses less digits than its factorization.

5012682192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5012682192 is about 70800.2979654747. The cubic root of 5012682192 is about 1711.4204755961.

The spelling of 5012682192 in words is "five billion, twelve million, six hundred eighty-two thousand, one hundred ninety-two".