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5269185700 = 22521717211801
BaseRepresentation
bin1001110100001000…
…10110010010100100
3111121012220100220221
410322010112102210
541242402420300
62230504534124
7244401224302
oct47204262244
914535810827
105269185700
112264355229
121030781344
1365c85ab7c
1437db33272
1520c8ca31a
hex13a1164a4

5269185700 has 72 divisors (see below), whose sum is σ = 12120489864. Its totient is φ = 1981440000.

The previous prime is 5269185689. The next prime is 5269185707. The reversal of 5269185700 is 75819625.

It can be written as a sum of positive squares in 12 ways, for example, as 1084648356 + 4184537344 = 32934^2 + 64688^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5269185707) 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 23 ways as a sum of consecutive naturals, for example, 2924800 + ... + 2926600.

It is an arithmetic number, because the mean of its divisors is an integer number (168340137).

Almost surely, 25269185700 is an apocalyptic number.

5269185700 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 5269185700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060244932).

5269185700 is an abundant number, since it is smaller than the sum of its proper divisors (6851304164).

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

5269185700 is a wasteful number, since it uses less digits than its factorization.

5269185700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 5269185700 is about 72589.1569037690. The cubic root of 5269185700 is about 1740.1278916874.

It can be divided in two parts, 5269 and 185700, that added together give a square (190969 = 4372).

The spelling of 5269185700 in words is "five billion, two hundred sixty-nine million, one hundred eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1721 1801 3442 3602 6884 7204 8605 9005 17210 18010 29257 30617 34420 36020 43025 45025 58514 61234 86050 90050 117028 122468 146285 153085 172100 180100 292570 306170 585140 612340 731425 765425 1462850 1530850 2925700 3061700 3099521 6199042 12398084 15497605 30995210 52691857 61990420 77488025 105383714 154976050 210767428 263459285 309952100 526918570 1053837140 1317296425 2634592850 5269185700