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5153806260 = 2232528632257
BaseRepresentation
bin1001100110011000…
…01101011110110100
3111022011210111002100
410303030031132310
541023333300020
62211223542100
7241500426141
oct46314153664
914264714070
105153806260
112205209a19
12bb9bba930
13641991105
1436c69b3c8
152026d8a90
hex13330d7b4

5153806260 has 36 divisors (see below), whose sum is σ = 15633212868. Its totient is φ = 1374348288.

The previous prime is 5153806243. The next prime is 5153806267. The reversal of 5153806260 is 626083515.

5153806260 is a `hidden beast` number, since 5 + 1 + 538 + 0 + 62 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1646087184 + 3507719076 = 40572^2 + 59226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5153806267) 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 11 ways as a sum of consecutive naturals, for example, 14315949 + ... + 14316308.

It is an arithmetic number, because the mean of its divisors is an integer number (434255913).

Almost surely, 25153806260 is an apocalyptic number.

It is an amenable number.

5153806260 is an abundant number, since it is smaller than the sum of its proper divisors (10479406608).

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

5153806260 is a wasteful number, since it uses less digits than its factorization.

5153806260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28632272 (or 28632267 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5153806260 is about 71790.0150438764. The cubic root of 5153806260 is about 1727.3328386752.

Adding to 5153806260 its reverse (626083515), we get a palindrome (5779889775).

The spelling of 5153806260 in words is "five billion, one hundred fifty-three million, eight hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 28632257 57264514 85896771 114529028 143161285 171793542 257690313 286322570 343587084 429483855 515380626 572645140 858967710 1030761252 1288451565 1717935420 2576903130 5153806260