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12442366405452 = 22347157140515499
BaseRepresentation
bin1011010100001111011011…
…0101000110101101001100
31122001110220220111212022010
42311003312311012231030
53112323431244433302
642243535541221220
72422634303301414
oct265036665065514
948043826455263
1012442366405452
113a67861511725
12148b4b7401810
136c3405435c99
143102dc745644
151689c3e3d16c
hexb50f6d46b4c

12442366405452 has 48 divisors (see below), whose sum is σ = 29838747456000. Its totient is φ = 4033356854592.

The previous prime is 12442366405397. The next prime is 12442366405463. The reversal of 12442366405452 is 25450466324421.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70169202 + ... + 70346297.

It is an arithmetic number, because the mean of its divisors is an integer number (621640572000).

Almost surely, 212442366405452 is an apocalyptic number.

12442366405452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12442366405452 is an abundant number, since it is smaller than the sum of its proper divisors (17396381050548).

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

12442366405452 is a wasteful number, since it uses less digits than its factorization.

12442366405452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140515710 (or 140515708 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 12442366405452 in words is "twelve trillion, four hundred forty-two billion, three hundred sixty-six million, four hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 47 94 141 157 188 282 314 471 564 628 942 1884 7379 14758 22137 29516 44274 88548 140515499 281030998 421546497 562061996 843092994 1686185988 6604228453 13208456906 19812685359 22060933343 26416913812 39625370718 44121866686 66182800029 79250741436 88243733372 132365600058 264731200116 1036863867121 2073727734242 3110591601363 4147455468484 6221183202726 12442366405452