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5183514336 = 253711131719167
BaseRepresentation
bin1001101001111011…
…00010011011100000
3111101020200210220110
410310331202123200
541103434424321
62214204411320
7242311100460
oct46475423340
914336623813
105183514336
11221aa60050
121007b46b40
13647b93260
143725d1ba0
15205106176
hex134f626e0

5183514336 has 768 divisors, whose sum is σ = 20483850240. Its totient is φ = 1101496320.

The previous prime is 5183514311. The next prime is 5183514337. The reversal of 5183514336 is 6334153815.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 5183514294 and 5183514303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5183514337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31038925 + ... + 31039091.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 25183514336 is an apocalyptic number.

5183514336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5183514336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241925120).

5183514336 is an abundant number, since it is smaller than the sum of its proper divisors (15300335904).

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

5183514336 is a wasteful number, since it uses less digits than its factorization.

5183514336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 5183514336 is about 71996.6272543374. The cubic root of 5183514336 is about 1730.6454357138.

The spelling of 5183514336 in words is "five billion, one hundred eighty-three million, five hundred fourteen thousand, three hundred thirty-six".