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5105104000 = 2753319069
BaseRepresentation
bin1001100000100100…
…11011010010000000
3111011210011011010221
410300102123102000
540423401312000
62202324032424
7240336445063
oct46022332200
914153134127
105105104000
11218a775217
12ba5832714
1363486b5c9
143660208da
151ed2b861a
hex13049b480

5105104000 has 64 divisors (see below), whose sum is σ = 12692604600. Its totient is φ = 2042035200.

The previous prime is 5105103973. The next prime is 5105104009. The reversal of 5105104000 is 4015015.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 607523904 + 4497580096 = 24648^2 + 67064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5105104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143535 + ... + 175534.

Almost surely, 25105104000 is an apocalyptic number.

5105104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105104000 is an abundant number, since it is smaller than the sum of its proper divisors (7587500600).

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

5105104000 is an equidigital number, since it uses as much as digits as its factorization.

5105104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319098 (or 319076 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 5105104000 is about 71450.0104968502. The cubic root of 5105104000 is about 1721.8746461638.

Adding to 5105104000 its reverse (4015015), we get a palindrome (5109119015).

The spelling of 5105104000 in words is "five billion, one hundred five million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 319069 638138 1276276 1595345 2552552 3190690 5105104 6381380 7976725 10210208 12762760 15953450 20420416 25525520 31906900 39883625 40840832 51051040 63813800 79767250 102102080 127627600 159534500 204204160 255255200 319069000 510510400 638138000 1021020800 1276276000 2552552000 5105104000