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12232434432 = 28337617057
BaseRepresentation
bin10110110010001110…
…00010001100000000
31011120111111001110010
423121013002030000
5200023000400212
65341451304520
7612062656101
oct133107021400
934514431403
1012232434432
115207988049
12245474b140
1311cc366baa
148408443a8
154b8d8503c
hex2d91c2300

12232434432 has 144 divisors (see below), whose sum is σ = 33988956512. Its totient is φ = 3901685760.

The previous prime is 12232434427. The next prime is 12232434433. The reversal of 12232434432 is 23443423221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12232434432.

It is not an unprimeable number, because it can be changed into a prime (12232434433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729848 + ... + 1736904.

Almost surely, 212232434432 is an apocalyptic number.

12232434432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994478256).

12232434432 is an abundant number, since it is smaller than the sum of its proper divisors (21756522080).

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

12232434432 is an equidigital number, since it uses as much as digits as its factorization.

12232434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7174 (or 7160 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 12232434432 its reverse (23443423221), we get a palindrome (35675857653).

The spelling of 12232434432 in words is "twelve billion, two hundred thirty-two million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 128 148 183 192 222 244 256 296 366 384 444 488 592 732 768 888 976 1184 1464 1776 1952 2257 2368 2928 3552 3904 4514 4736 5856 6771 7057 7104 7808 9028 9472 11712 13542 14114 14208 15616 18056 21171 23424 27084 28228 28416 36112 42342 46848 54168 56456 72224 84684 108336 112912 144448 169368 216672 225824 261109 288896 338736 430477 433344 451648 522218 577792 677472 783327 860954 866688 903296 1044436 1291431 1354944 1566654 1721908 1733376 1806592 2088872 2582862 2709888 3133308 3443816 4177744 5165724 5419776 6266616 6887632 8355488 10331448 12533232 13775264 15927649 16710976 20662896 25066464 27550528 31855298 33421952 41325792 47782947 50132928 55101056 63710596 66843904 82651584 95565894 100265856 110202112 127421192 165303168 191131788 200531712 254842384 330606336 382263576 509684768 764527152 1019369536 1529054304 2038739072 3058108608 4077478144 6116217216 12232434432