Search a number
-
+
8133373648 = 241729902109
BaseRepresentation
bin1111001001100100…
…10110111011010000
3202222211101012011001
413210302112323100
5113124120424043
63423022231344
7405360351421
oct74462267320
922884335131
108133373648
1134a4094004
1216aba25554
139c807033a
145722a5648
1532909374d
hex1e4c96ed0

8133373648 has 20 divisors (see below), whose sum is σ = 16685377380. Its totient is φ = 3827469824.

The previous prime is 8133373613. The next prime is 8133373657. The reversal of 8133373648 is 8463733318.

It can be written as a sum of positive squares in 2 ways, for example, as 5519301264 + 2614072384 = 74292^2 + 51128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8133373598 and 8133373607.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14950783 + ... + 14951326.

It is an arithmetic number, because the mean of its divisors is an integer number (834268869).

Almost surely, 28133373648 is an apocalyptic number.

It is an amenable number.

8133373648 is an abundant number, since it is smaller than the sum of its proper divisors (8552003732).

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

8133373648 is a wasteful number, since it uses less digits than its factorization.

8133373648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29902134 (or 29902128 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 8133373648 is about 90185.2185671244. The cubic root of 8133373648 is about 2011.0532707338.

It can be divided in two parts, 81 and 33373648, that added together give a square (33373729 = 57772).

The spelling of 8133373648 in words is "eight billion, one hundred thirty-three million, three hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 29902109 59804218 119608436 239216872 478433744 508335853 1016671706 2033343412 4066686824 8133373648