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12432331133364 = 22315134720179803
BaseRepresentation
bin1011010011101010000010…
…1011100101000110110100
31122000112000112101012222010
42310322200223211012310
53112142403232231424
642235200054404220
72422130520012402
oct264724053450664
948015015335863
1012432331133364
113a635818a622a
121489576660670
136c2496348c6c
1430da29a40472
151685d7e14229
hexb4ea0ae51b4

12432331133364 has 96 divisors (see below), whose sum is σ = 29302544065536. Its totient is φ = 4102348723200.

The previous prime is 12432331133363. The next prime is 12432331133407. The reversal of 12432331133364 is 46333113323421.

It is a happy number.

It is a super-2 number, since 2×124323311333642 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432331133363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268212087 + ... + 1268221889.

It is an arithmetic number, because the mean of its divisors is an integer number (305234834016).

Almost surely, 212432331133364 is an apocalyptic number.

It is an amenable number.

12432331133364 is an abundant number, since it is smaller than the sum of its proper divisors (16870212932172).

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

12432331133364 is a wasteful number, since it uses less digits than its factorization.

12432331133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12323 counting only the distinct ones).

The product of its digits is 279936, while the sum is 39.

Adding to 12432331133364 its reverse (46333113323421), we get a palindrome (58765444456785).

The spelling of 12432331133364 in words is "twelve trillion, four hundred thirty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 151 302 347 453 604 694 906 1041 1388 1812 2017 2082 4034 4164 6051 8068 9803 12102 19606 24204 29409 39212 52397 58818 104794 117636 157191 209588 304567 314382 609134 628764 699899 913701 1218268 1399798 1480253 1827402 2099697 2799596 2960506 3401641 3654804 4199394 4440759 5921012 6803282 8398788 8881518 10204923 13606564 17763036 19772651 20409846 39545302 40819692 59317953 79090604 105684749 118635906 211369498 237271812 317054247 422738996 513647791 634108494 1027295582 1268216988 1540943373 2054591164 2985670301 3081886746 5971340602 6163773492 6861109897 8957010903 11942681204 13722219794 17914021806 20583329691 27444439588 35828043612 41166659382 82333318764 1036027594447 2072055188894 3108082783341 4144110377788 6216165566682 12432331133364