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4825136340 = 2232526806313
BaseRepresentation
bin1000111111001100…
…11011110011010100
3110110021100022201100
410133212123303110
534340213330330
62114443230100
7230366660613
oct43746336324
913407308640
104825136340
112056733392
12b27b18330
135bb86587b
1433ab8387a
151d3915060
hex11f99bcd4

4825136340 has 36 divisors (see below), whose sum is σ = 14636247444. Its totient is φ = 1286702976.

The previous prime is 4825136321. The next prime is 4825136341. The reversal of 4825136340 is 436315284.

4825136340 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 13 + 634 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 723502404 + 4101633936 = 26898^2 + 64044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4825136295 and 4825136304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4825136341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13402977 + ... + 13403336.

It is an arithmetic number, because the mean of its divisors is an integer number (406562429).

Almost surely, 24825136340 is an apocalyptic number.

It is an amenable number.

4825136340 is an abundant number, since it is smaller than the sum of its proper divisors (9811111104).

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

4825136340 is a wasteful number, since it uses less digits than its factorization.

4825136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26806328 (or 26806323 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4825136340 is about 69463.2013371109. The cubic root of 4825136340 is about 1689.8047625259.

The spelling of 4825136340 in words is "four billion, eight hundred twenty-five million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26806313 53612626 80418939 107225252 134031565 160837878 241256817 268063130 321675756 402094695 482513634 536126260 804189390 965027268 1206284085 1608378780 2412568170 4825136340