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5123886336 = 2835312657
BaseRepresentation
bin1001100010110100…
…00100110100000000
3111020002111101200000
410301122010310000
540443203330321
62204234400000
7240655213062
oct46132046400
914202441600
105123886336
11219a333708
12babb90000
1363871670a
1436870d732
151eec78826
hex131684d00

5123886336 has 216 divisors, whose sum is σ = 15820756224. Its totient is φ = 1652244480.

The previous prime is 5123886319. The next prime is 5123886337. The reversal of 5123886336 is 6336883215.

5123886336 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 8 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×51238863362 = 52508422368495009792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5123886291 and 5123886300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5123886337) 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 23 ways as a sum of consecutive naturals, for example, 1927120 + ... + 1929776.

Almost surely, 25123886336 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 5123886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910378112).

5123886336 is an abundant number, since it is smaller than the sum of its proper divisors (10696869888).

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

5123886336 is an equidigital number, since it uses as much as digits as its factorization.

5123886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2693 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 5123886336 is about 71581.3267270173. The cubic root of 5123886336 is about 1723.9837280420.

The spelling of 5123886336 in words is "five billion, one hundred twenty-three million, eight hundred eighty-six thousand, three hundred thirty-six".