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5133033234 = 2337232920359
BaseRepresentation
bin1001100011111001…
…11101111100010010
3111020201201002212000
410301330331330102
541003024030414
62205202414430
7241126030320
oct46174757422
914221632760
105133033234
1121a451092a
12bb3061416
1363a599b94
14369a10d10
15200983b09
hex131f3df12

5133033234 has 128 divisors (see below), whose sum is σ = 14072832000. Its totient is φ = 1354377024.

The previous prime is 5133033223. The next prime is 5133033247. The reversal of 5133033234 is 4323303315.

It is a happy number.

5133033234 is a `hidden beast` number, since 5 + 1 + 330 + 3 + 323 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5133033198 and 5133033207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241947 + ... + 262305.

It is an arithmetic number, because the mean of its divisors is an integer number (109944000).

Almost surely, 25133033234 is an apocalyptic number.

5133033234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133033234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036416000).

5133033234 is an abundant number, since it is smaller than the sum of its proper divisors (8939798766).

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

5133033234 is a wasteful number, since it uses less digits than its factorization.

5133033234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20429 (or 20423 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 5133033234 is about 71645.1898873888. The cubic root of 5133033234 is about 1725.0089738664.

Adding to 5133033234 its reverse (4323303315), we get a palindrome (9456336549).

The spelling of 5133033234 in words is "five billion, one hundred thirty-three million, thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 126 138 161 174 189 203 207 261 322 378 406 414 483 522 609 621 667 783 966 1218 1242 1334 1449 1566 1827 2001 2898 3654 4002 4347 4669 5481 6003 8694 9338 10962 12006 14007 18009 20359 28014 36018 40718 42021 61077 84042 122154 126063 142513 183231 252126 285026 366462 427539 468257 549693 590411 855078 936514 1099386 1180822 1282617 1404771 1771233 2565234 2809542 3277799 3542466 3847851 4132877 4214313 5313699 6555598 7695702 8265754 8428626 9833397 10627398 12398631 12642939 13579453 15941097 19666794 24797262 25285878 27158906 29500191 31882194 37195893 40738359 59000382 74391786 81476718 88500573 95056171 111587679 122215077 177001146 190112342 223175358 244430154 285168513 366645231 570337026 733290462 855505539 1711011078 2566516617 5133033234