Search a number
-
+
12333334032 = 2432137625169
BaseRepresentation
bin10110111110001111…
…11011111000010000
31011211112100021200100
423133013323320100
5200224313142112
65355454052400
7614426416035
oct133707737020
934745307610
1012333334032
115259933448
1224824aa100
131217233cb6
1484ddcb38c
154c2b662dc
hex2df1fbe10

12333334032 has 60 divisors (see below), whose sum is σ = 34768204380. Its totient is φ = 4081096704.

The previous prime is 12333334031. The next prime is 12333334127. The reversal of 12333334032 is 23043333321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10180002816 + 2153331216 = 100896^2 + 46404^2 .

It is a super-2 number, since 2×123333340322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333333987 and 12333334005.

It is not an unprimeable number, because it can be changed into a prime (12333334031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292857 + ... + 332312.

It is an arithmetic number, because the mean of its divisors is an integer number (579470073).

Almost surely, 212333334032 is an apocalyptic number.

12333334032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12333334032 is an abundant number, since it is smaller than the sum of its proper divisors (22434870348).

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

12333334032 is a wasteful number, since it uses less digits than its factorization.

12333334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625320 (or 625311 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 12333334032 its reverse (23043333321), we get a palindrome (35376667353).

It can be divided in two parts, 1233 and 3334032, that multiplied together give a square (4110861456 = 641162).

The spelling of 12333334032 in words is "twelve billion, three hundred thirty-three million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 625169 1250338 1875507 2500676 3751014 5001352 5626521 7502028 10002704 11253042 15004056 22506084 30008112 45012168 85648153 90024336 171296306 256944459 342592612 513888918 685185224 770833377 1027777836 1370370448 1541666754 2055555672 3083333508 4111111344 6166667016 12333334032