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5233126032 = 2432100936017
BaseRepresentation
bin1001101111110101…
…10010101010010000
3111111201001100100200
410313322302222100
541204140013112
62223140015200
7243452560131
oct46772625220
914451040320
105233126032
112245a66052
121020691500
136552439a4
14379027c88
15209655cdc
hex137eb2a90

5233126032 has 60 divisors (see below), whose sum is σ = 14660406540. Its totient is φ = 1742598144.

The previous prime is 5233125973. The next prime is 5233126051. The reversal of 5233126032 is 2306213325.

5233126032 is a `hidden beast` number, since 5 + 23 + 31 + 2 + 603 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2148878736 + 3084247296 = 46356^2 + 55536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5233125987 and 5233126005.

It is an unprimeable number.

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, 127288 + ... + 163304.

It is an arithmetic number, because the mean of its divisors is an integer number (244340109).

Almost surely, 25233126032 is an apocalyptic number.

It is an amenable number.

5233126032 is an abundant number, since it is smaller than the sum of its proper divisors (9427280508).

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

5233126032 is a wasteful number, since it uses less digits than its factorization.

5233126032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37040 (or 37031 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5233126032 is about 72340.3485753283. The cubic root of 5233126032 is about 1736.1492806992.

Adding to 5233126032 its reverse (2306213325), we get a palindrome (7539339357).

The spelling of 5233126032 in words is "five billion, two hundred thirty-three million, one hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1009 2018 3027 4036 6054 8072 9081 12108 16144 18162 24216 36017 36324 48432 72034 72648 108051 144068 145296 216102 288136 324153 432204 576272 648306 864408 1296612 1728816 2593224 5186448 36341153 72682306 109023459 145364612 218046918 290729224 327070377 436093836 581458448 654140754 872187672 1308281508 1744375344 2616563016 5233126032