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5046115456 = 271910391997
BaseRepresentation
bin1001011001100010…
…11001110010000000
3111000200011020002001
410230301121302000
540313301143311
62152415433344
7236022162604
oct45461316200
914020136061
105046115456
11215a445258
12b89b25854
13625586b45
1435c267504
151e80154c1
hex12cc59c80

5046115456 has 64 divisors (see below), whose sum is σ = 10597392000. Its totient is φ = 2386768896.

The previous prime is 5046115453. The next prime is 5046115517. The reversal of 5046115456 is 6545116405.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5046115453) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2525850 + ... + 2527846.

It is an arithmetic number, because the mean of its divisors is an integer number (165584250).

Almost surely, 25046115456 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 5046115456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298696000).

5046115456 is an abundant number, since it is smaller than the sum of its proper divisors (5551276544).

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

5046115456 is a wasteful number, since it uses less digits than its factorization.

5046115456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 5046115456 is about 71036.0152035571. The cubic root of 5046115456 is about 1715.2169548196.

The spelling of 5046115456 in words is "five billion, forty-six million, one hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1039 1216 1997 2078 2432 3994 4156 7988 8312 15976 16624 19741 31952 33248 37943 39482 63904 66496 75886 78964 127808 132992 151772 157928 255616 303544 315856 607088 631712 1214176 1263424 2074883 2428352 2526848 4149766 4856704 8299532 16599064 33198128 39422777 66396256 78845554 132792512 157691108 265585024 315382216 630764432 1261528864 2523057728 5046115456