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5115444400 = 2452112105691
BaseRepresentation
bin1001100001110011…
…10111110010110000
3111012111121111111201
410300321313302300
540434023210100
62203333420544
7240523363033
oct46071676260
914174544451
105115444400
112195598100
12ba919a754
13636a4c0a1
1436755301a
151ee15c36a
hex130e77cb0

5115444400 has 90 divisors (see below), whose sum is σ = 13508811596. Its totient is φ = 1860144000.

The previous prime is 5115444377. The next prime is 5115444403. The reversal of 5115444400 is 44445115.

It is not an unprimeable number, because it can be changed into a prime (5115444403) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4446 + ... + 101245.

Almost surely, 25115444400 is an apocalyptic number.

5115444400 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 5115444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754405798).

5115444400 is an abundant number, since it is smaller than the sum of its proper divisors (8393367196).

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

5115444400 is a wasteful number, since it uses less digits than its factorization.

5115444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105731 (or 105709 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 5115444400 is about 71522.3349730698. The cubic root of 5115444400 is about 1723.0364158248.

Adding to 5115444400 its reverse (44445115), we get a palindrome (5159889515).

It can be divided in two parts, 51 and 15444400, that added together give a palindrome (15444451).

The spelling of 5115444400 in words is "five billion, one hundred fifteen million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 105691 211382 422764 528455 845528 1056910 1162601 1691056 2113820 2325202 2642275 4227640 4650404 5284550 5813005 8455280 9300808 10569100 11626010 12788611 18601616 21138200 23252020 25577222 29065025 42276400 46504040 51154444 58130050 63943055 93008080 102308888 116260100 127886110 204617776 232520200 255772220 319715275 465040400 511544440 639430550 1023088880 1278861100 2557722200 5115444400