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12460526442 = 23272132933709
BaseRepresentation
bin10111001101011010…
…01000101101101010
31012011101200022212100
423212231020231222
5201004343321232
65420240154230
7620532504300
oct134655105552
935141608770
1012460526442
115314707a41
1224b9008976
1312376a8890
14862c5a270
154cdddcc7c
hex2e6b48b6a

12460526442 has 144 divisors (see below), whose sum is σ = 33946010280. Its totient is φ = 3274193664.

The previous prime is 12460526423. The next prime is 12460526443. The reversal of 12460526442 is 24462506421.

12460526442 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 0 + 5 + 2 + 644 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10249740081 + 2210786361 = 101241^2 + 47019^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12460526397 and 12460526406.

It is not an unprimeable number, because it can be changed into a prime (12460526443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3357684 + ... + 3361392.

Almost surely, 212460526442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12460526442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973005140).

12460526442 is an abundant number, since it is smaller than the sum of its proper divisors (21485483838).

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

12460526442 is a wasteful number, since it uses less digits than its factorization.

12460526442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4037 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12460526442 in words is "twelve billion, four hundred sixty million, five hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 293 294 441 546 586 637 819 879 882 1274 1638 1758 1911 2051 2637 3709 3809 3822 4102 5274 5733 6153 7418 7618 11127 11427 11466 12306 14357 18459 22254 22854 25963 26663 28714 33381 34281 36918 43071 48217 51926 53326 66762 68562 77889 79989 86142 96434 129213 144651 155778 159978 181741 186641 233667 239967 258426 289302 337519 363482 373282 433953 467334 479934 545223 559923 675038 867906 1012557 1086737 1090446 1119846 1635669 1679769 2025114 2173474 2362633 3037671 3260211 3271338 3359538 4725266 6075342 6520422 7087899 7607159 9780633 14127581 14175798 15214318 19561266 21263697 22821477 28255162 42382743 42527394 45642954 53250113 68464431 84765486 98893067 106500226 127148229 136928862 159750339 197786134 254296458 296679201 319500678 479251017 593358402 692251469 890037603 958502034 1384502938 1780075206 2076754407 4153508814 6230263221 12460526442