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5255670016 = 282321972
BaseRepresentation
bin1001110010100001…
…10010100100000000
3111120021110200220001
410321100302210000
541230422420031
62225303125344
7244145313052
oct47120624400
914507420801
105255670016
112257763743
121028143854
13659b0801c
1437c0158d2
1520b60a861
hex139432900

5255670016 has 81 divisors (see below), whose sum is σ = 11022715081. Its totient is φ = 2500822016.

The previous prime is 5255670011. The next prime is 5255670053. The reversal of 5255670016 is 6100765525.

The square root of 5255670016 is 72496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5149497600 + 106172416 = 71760^2 + 10304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5255670011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26678430 + ... + 26678626.

Almost surely, 25255670016 is an apocalyptic number.

5255670016 is the 72496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5255670016

5255670016 is an abundant number, since it is smaller than the sum of its proper divisors (5767045065).

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

5255670016 is an frugal number, since it uses more digits than its factorization.

5255670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The cubic root of 5255670016 is about 1738.6387838922.

The spelling of 5255670016 in words is "five billion, two hundred fifty-five million, six hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 197 256 368 394 529 736 788 1058 1472 1576 2116 2944 3152 4232 4531 5888 6304 8464 9062 12608 16928 18124 25216 33856 36248 38809 50432 67712 72496 77618 104213 135424 144992 155236 208426 289984 310472 416852 579968 620944 833704 892607 1159936 1241888 1667408 1785214 2483776 3334816 3570428 4967552 6669632 7140856 9935104 13339264 14281712 20529961 26678528 28563424 41059922 57126848 82119844 114253696 164239688 228507392 328479376 656958752 1313917504 2627835008 5255670016