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12529032432 = 2437271137597
BaseRepresentation
bin10111010101100100…
…11101110011110000
31012100011120210102020
423222302131303300
5201124413014212
65431124351440
7622324006230
oct135262356360
935304523366
1012529032432
11534a348564
122517b45580
131248943377
1486bdadcc0
154d4e20d8c
hex2eac9dcf0

12529032432 has 80 divisors (see below), whose sum is σ = 37127242752. Its totient is φ = 3566488320.

The previous prime is 12529032401. The next prime is 12529032433. The reversal of 12529032432 is 23423092521.

It is a junction number, because it is equal to n+sod(n) for n = 12529032393 and 12529032402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12529032433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22258 + ... + 159854.

Almost surely, 212529032432 is an apocalyptic number.

12529032432 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 12529032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563621376).

12529032432 is an abundant number, since it is smaller than the sum of its proper divisors (24598210320).

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

12529032432 is a wasteful number, since it uses less digits than its factorization.

12529032432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137886 (or 137880 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 12529032432 in words is "twelve billion, five hundred twenty-nine million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 271 336 542 813 1084 1626 1897 2168 3252 3794 4336 5691 6504 7588 11382 13008 15176 22764 30352 45528 91056 137597 275194 412791 550388 825582 963179 1100776 1651164 1926358 2201552 2889537 3302328 3852716 5779074 6604656 7705432 11558148 15410864 23116296 37288787 46232592 74577574 111866361 149155148 223732722 261021509 298310296 447465444 522043018 596620592 783064527 894930888 1044086036 1566129054 1789861776 2088172072 3132258108 4176344144 6264516216 12529032432