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5134331200 = 26523208957
BaseRepresentation
bin1001100100000011…
…11010110101000000
3111020211011001022211
410302001322311000
541003342044300
62205250311504
7241143044425
oct46201726500
914224131284
105134331200
1121a5218029
12bb3588594
1363a9328cb
14369c6bd4c
15200b3d4ba
hex13207ad40

5134331200 has 42 divisors (see below), whose sum is σ = 12633667646. Its totient is φ = 2053731840.

The previous prime is 5134331171. The next prime is 5134331207. The reversal of 5134331200 is 21334315.

It can be written as a sum of positive squares in 3 ways, for example, as 117158976 + 5017172224 = 10824^2 + 70832^2 .

It is a super-2 number, since 2×51343312002 = 52722713742586880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134331207) 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 5 ways as a sum of consecutive naturals, for example, 1602879 + ... + 1606078.

Almost surely, 25134331200 is an apocalyptic number.

5134331200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5134331200 is an abundant number, since it is smaller than the sum of its proper divisors (7499336446).

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

5134331200 is a wasteful number, since it uses less digits than its factorization.

5134331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208979 (or 3208964 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 5134331200 is about 71654.2476061259. The cubic root of 5134331200 is about 1725.1543599179.

Adding to 5134331200 its reverse (21334315), we get a palindrome (5155665515).

The spelling of 5134331200 in words is "five billion, one hundred thirty-four million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3208957 6417914 12835828 16044785 25671656 32089570 51343312 64179140 80223925 102686624 128358280 160447850 205373248 256716560 320895700 513433120 641791400 1026866240 1283582800 2567165600 5134331200