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20112304032 = 2532143348733
BaseRepresentation
bin10010101110110010…
…010110011110100000
31220220122211220102100
4102232302112132200
5312142222212112
613123420250400
71311254522622
oct225662263640
956818756370
1020112304032
118590964777
123a936a0a00
131b86a38922
14d8b19ac12
157caa512dc
hex4aec967a0

20112304032 has 72 divisors (see below), whose sum is σ = 57235451364. Its totient is φ = 6699285504.

The previous prime is 20112304027. The next prime is 20112304067. The reversal of 20112304032 is 23040321102.

20112304032 is a `hidden beast` number, since 20 + 11 + 230 + 403 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18280121616 + 1832182416 = 135204^2 + 42804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20112303996 and 20112304014.

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, 388338 + ... + 437070.

Almost surely, 220112304032 is an apocalyptic number.

It is an amenable number.

20112304032 is an abundant number, since it is smaller than the sum of its proper divisors (37123147332).

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

20112304032 is a wasteful number, since it uses less digits than its factorization.

20112304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50182 (or 50171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20112304032 its reverse (23040321102), we get a palindrome (43152625134).

The spelling of 20112304032 in words is "twenty billion, one hundred twelve million, three hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1433 2866 4299 5732 8598 11464 12897 17196 22928 25794 34392 45856 48733 51588 68784 97466 103176 137568 146199 194932 206352 292398 389864 412704 438597 584796 779728 877194 1169592 1559456 1754388 2339184 3508776 4678368 7017552 14035104 69834389 139668778 209503167 279337556 419006334 558675112 628509501 838012668 1117350224 1257019002 1676025336 2234700448 2514038004 3352050672 5028076008 6704101344 10056152016 20112304032