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12442513503 = 3721710149297
BaseRepresentation
bin10111001011010000…
…11011000001011111
31012010010210011202110
423211220123001133
5200440240413003
65414354125103
7620223422400
oct134550330137
935103704673
1012442513503
115305524612
1224b2b80793
131233a3ca34
148606cb9a7
154cc530a03
hex2e5a1b05f

12442513503 has 48 divisors (see below), whose sum is σ = 20636537184. Its totient is φ = 6625382400.

The previous prime is 12442513487. The next prime is 12442513541. The reversal of 12442513503 is 30531524421.

It is not a de Polignac number, because 12442513503 - 24 = 12442513487 is a prime.

It is a super-3 number, since 3×124425135033 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442513553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227751 + ... + 277047.

It is an arithmetic number, because the mean of its divisors is an integer number (429927858).

Almost surely, 212442513503 is an apocalyptic number.

12442513503 is a deficient number, since it is larger than the sum of its proper divisors (8194023681).

12442513503 is a wasteful number, since it uses less digits than its factorization.

12442513503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49432 (or 49425 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 12442513503 in words is "twelve billion, four hundred forty-two million, five hundred thirteen thousand, five hundred three".

Divisors: 1 3 7 17 21 49 51 101 119 147 303 357 707 833 1717 2121 2499 4949 5151 12019 14847 36057 49297 84133 147891 252399 345079 838049 1035237 2415553 2514147 4978997 5866343 7246659 14936991 17599029 34852979 41064401 84642949 104558937 123193203 243970853 253928847 592500643 731912559 1777501929 4147504501 12442513503