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12482252176 = 24172312532
BaseRepresentation
bin10111010000000000…
…00000110110010000
31012012220120002222011
423220000000312100
5201030424032201
65422333552304
7621215251522
oct135000006620
935186502864
1012482252176
1153259a6899
122504345694
13123c044644
14865ab3a12
154d0c80151
hex2e8000d90

12482252176 has 135 divisors (see below), whose sum is σ = 27056440803. Its totient is φ = 5577262080.

The previous prime is 12482252173. The next prime is 12482252201. The reversal of 12482252176 is 67125228421.

It is a happy number.

The square root of 12482252176 is 111724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3127493776 + 9354758400 = 55924^2 + 96720^2 .

Its product of digits (107520) is a multiple of the sum of its prime factors (210).

It is not an unprimeable number, because it can be changed into a prime (12482252173) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 235514166 + ... + 235514218.

Almost surely, 212482252176 is an apocalyptic number.

12482252176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12482252176 is the 111724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12482252176

12482252176 is an abundant number, since it is smaller than the sum of its proper divisors (14574188627).

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

12482252176 is an equidigital number, since it uses as much as digits as its factorization.

12482252176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The spelling of 12482252176 in words is "twelve billion, four hundred eighty-two million, two hundred fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 31 34 53 62 68 106 124 136 212 248 272 289 424 496 527 578 848 901 961 1054 1156 1643 1802 1922 2108 2312 2809 3286 3604 3844 4216 4624 5618 6572 7208 7688 8432 8959 11236 13144 14416 15317 15376 16337 17918 22472 26288 27931 30634 32674 35836 44944 47753 50933 55862 61268 65348 71672 87079 95506 101866 111724 122536 130696 143344 174158 191012 203732 223448 245072 261392 277729 348316 382024 407464 446896 474827 555458 696632 764048 811801 814928 865861 949654 1110916 1393264 1480343 1623602 1731722 1899308 2221832 2699449 2960686 3247204 3463444 3798616 4443664 5398898 5921372 6494408 6926888 7597232 10797796 11842744 12988816 13853776 14719637 21595592 23685488 25165831 29439274 43191184 45890633 50331662 58878548 91781266 100663324 117757096 183562532 201326648 235514192 367125064 402653296 734250128 780140761 1560281522 3120563044 6241126088 12482252176