Search a number
-
+
5205166300 = 22521011513413
BaseRepresentation
bin1001101100100000…
…01000100011011100
3111102202102211211001
410312100020203130
541130010310200
62220300440044
7242663116645
oct46620104334
914382384731
105205166300
1122311a9534
121013249024
1364c504579
1437542a6cc
15206e8176a
hex1364088dc

5205166300 has 72 divisors (see below), whose sum is σ = 11485952352. Its totient is φ = 2047200000.

The previous prime is 5205166277. The next prime is 5205166331. The reversal of 5205166300 is 36615025.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1523394 + ... + 1526806.

It is an arithmetic number, because the mean of its divisors is an integer number (159527116).

Almost surely, 25205166300 is an apocalyptic number.

5205166300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205166300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742976176).

5205166300 is an abundant number, since it is smaller than the sum of its proper divisors (6280786052).

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

5205166300 is a wasteful number, since it uses less digits than its factorization.

5205166300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5205166300 is about 72146.8384615709. The cubic root of 5205166300 is about 1733.0517709157.

The spelling of 5205166300 in words is "five billion, two hundred five million, one hundred sixty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 151 202 302 404 505 604 755 1010 1510 2020 2525 3020 3413 3775 5050 6826 7550 10100 13652 15100 15251 17065 30502 34130 61004 68260 76255 85325 152510 170650 305020 341300 344713 381275 515363 689426 762550 1030726 1378852 1525100 1723565 2061452 2576815 3447130 5153630 6894260 8617825 10307260 12884075 17235650 25768150 34471300 51536300 52051663 104103326 208206652 260258315 520516630 1041033260 1301291575 2602583150 5205166300