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5134337280 = 2835517971
BaseRepresentation
bin1001100100000011…
…11100010100000000
3111020211011100200000
410302001330110000
541003342243110
62205250400000
7241143101232
oct46201742400
914224140600
105134337280
1121a5221656
12bb3590000
1363a9355c7
14369c70252
15200b401c0
hex13207c500

5134337280 has 432 divisors, whose sum is σ = 19525955904. Its totient is φ = 1287290880.

The previous prime is 5134337261. The next prime is 5134337333. The reversal of 5134337280 is 827334315.

5134337280 is a `hidden beast` number, since 5 + 1 + 343 + 37 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×51343372802 = 52722838609595596800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5287195 + ... + 5288165.

It is an arithmetic number, because the mean of its divisors is an integer number (45198972).

Almost surely, 25134337280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5134337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762977952).

5134337280 is an abundant number, since it is smaller than the sum of its proper divisors (14391618624).

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

5134337280 is an equidigital number, since it uses as much as digits as its factorization.

5134337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5134337280 is about 71654.2900320700. The cubic root of 5134337280 is about 1725.1550408851.

The spelling of 5134337280 in words is "five billion, one hundred thirty-four million, three hundred thirty-seven thousand, two hundred eighty".