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5064360100 = 225258698629
BaseRepresentation
bin1001011011101110…
…00000000010100100
3111001221111011000121
410231313000002210
540332434010400
62154310451324
7236333231152
oct45567000244
914057434017
105064360100
112169776778
12b94063b44
136292a42a7
143608563d2
151e991b21a
hex12ddc00a4

5064360100 has 36 divisors (see below), whose sum is σ = 10992807700. Its totient is φ = 2025164160.

The previous prime is 5064360011. The next prime is 5064360101. The reversal of 5064360100 is 10634605.

It can be written as a sum of positive squares in 6 ways, for example, as 273505444 + 4790854656 = 16538^2 + 69216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5064360101) 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 11 ways as a sum of consecutive naturals, for example, 582586 + ... + 591214.

Almost surely, 25064360100 is an apocalyptic number.

5064360100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5064360100 is an abundant number, since it is smaller than the sum of its proper divisors (5928447600).

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

5064360100 is a wasteful number, since it uses less digits than its factorization.

5064360100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14512 (or 14505 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5064360100 is about 71164.3176036980. The cubic root of 5064360100 is about 1717.2816376305.

Adding to 5064360100 its reverse (10634605), we get a palindrome (5074994705).

The spelling of 5064360100 in words is "five billion, sixty-four million, three hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5869 8629 11738 17258 23476 29345 34516 43145 58690 86290 117380 146725 172580 215725 293450 431450 586900 862900 50643601 101287202 202574404 253218005 506436010 1012872020 1266090025 2532180050 5064360100