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12332403432 = 23321772713859
BaseRepresentation
bin10110111110001000…
…11000101011101000
31011211110121000010200
423133010120223220
5200224043402212
65355422112200
7614415461646
oct133704305350
934743530120
1012332403432
115259358258
12248211b660
131216c9954b
1484dc28196
154c2a306dc
hex2df118ae8

12332403432 has 96 divisors (see below), whose sum is σ = 35416180800. Its totient is φ = 3863388672.

The previous prime is 12332403371. The next prime is 12332403443. The reversal of 12332403432 is 23430423321.

12332403432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12332403396 and 12332403405.

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 23 ways as a sum of consecutive naturals, for example, 882919 + ... + 896777.

It is an arithmetic number, because the mean of its divisors is an integer number (368918550).

Almost surely, 212332403432 is an apocalyptic number.

12332403432 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 12332403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708090400).

12332403432 is an abundant number, since it is smaller than the sum of its proper divisors (23083777368).

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

12332403432 is a wasteful number, since it uses less digits than its factorization.

12332403432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14615 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12332403432 its reverse (23430423321), we get a palindrome (35762826753).

The spelling of 12332403432 in words is "twelve billion, three hundred thirty-two million, four hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 727 1224 1454 2181 2908 4362 5816 6543 8724 12359 13086 13859 17448 24718 26172 27718 37077 41577 49436 52344 55436 74154 83154 98872 110872 111231 124731 148308 166308 222462 235603 249462 296616 332616 444924 471206 498924 706809 889848 942412 997848 1413618 1884824 2120427 2827236 4240854 5654472 8481708 10075493 16963416 20150986 30226479 40301972 60452958 80603944 90679437 120905916 171283381 181358874 241811832 342566762 362717748 513850143 685133524 725435496 1027700286 1370267048 1541550429 2055400572 3083100858 4110801144 6166201716 12332403432