Search a number
-
+
12582248442 = 2331538914341
BaseRepresentation
bin10111011011111010…
…11101111111111010
31012110212201110001120
423231331131333322
5201232023422232
65440305130110
7623541230031
oct135575357772
935425643046
1012582248442
115377395535
122531929936
13125698652a
148750a3718
154d993392c
hex2edf5dffa

12582248442 has 64 divisors (see below), whose sum is σ = 26765614080. Its totient is φ = 3937190400.

The previous prime is 12582248423. The next prime is 12582248443. The reversal of 12582248442 is 24484228521.

It is a super-2 number, since 2×125822484422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12582248394 and 12582248403.

It is not an unprimeable number, because it can be changed into a prime (12582248443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870192 + ... + 884532.

It is an arithmetic number, because the mean of its divisors is an integer number (418212720).

Almost surely, 212582248442 is an apocalyptic number.

12582248442 is an abundant number, since it is smaller than the sum of its proper divisors (14183365638).

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

12582248442 is a wasteful number, since it uses less digits than its factorization.

12582248442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14519.

The product of its digits is 327680, while the sum is 42.

The spelling of 12582248442 in words is "twelve billion, five hundred eighty-two million, two hundred forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 31 53 62 89 93 106 159 178 186 267 318 534 1643 2759 3286 4717 4929 5518 8277 9434 9858 14151 14341 16554 28302 28682 43023 86046 146227 292454 438681 444571 760073 877362 889142 1276349 1333713 1520146 2280219 2552698 2667426 3829047 4560438 7658094 23562263 39566819 47124526 67646497 70686789 79133638 118700457 135292994 141373578 202939491 237400914 405878982 2097041407 4194082814 6291124221 12582248442