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12254055435342 = 23274111113213449
BaseRepresentation
bin1011001001010001111010…
…0111110000110001001110
31121101110212012012102100200
42302110132213300301032
53101232301142412332
642021234011434330
72403216626411640
oct262243647606116
947343765172320
1012254055435342
1139a4a08915706
12145ab024559a6
136ab724a0c556
14305156c54890
15163b51cb017c
hexb251e9f0c4e

12254055435342 has 96 divisors (see below), whose sum is σ = 31086400363200. Its totient is φ = 3415441213440.

The previous prime is 12254055435341. The next prime is 12254055435353. The reversal of 12254055435342 is 24353455045221.

12254055435342 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 0 + 554 + 3 + 53 + 42 = 666.

12254055435342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122540554353422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254055435341) 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, 57303034 + ... + 57516482.

It is an arithmetic number, because the mean of its divisors is an integer number (323816670450).

Almost surely, 212254055435342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12254055435342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543200181600).

12254055435342 is an abundant number, since it is smaller than the sum of its proper divisors (18832344927858).

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

12254055435342 is a wasteful number, since it uses less digits than its factorization.

12254055435342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224618 (or 224615 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 12254055435342 in words is "twelve trillion, two hundred fifty-four billion, fifty-five million, four hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 11113 22226 33339 66678 77791 100017 155582 200034 213449 233373 426898 455633 466746 640347 700119 911266 1280694 1366899 1400238 1494143 1921041 2733798 2988286 3189431 3842082 4100697 4482429 6378862 8201394 8751409 8964858 9568293 13447287 17502818 19136586 26254227 26894574 28704879 52508454 57409758 61259863 78762681 122519726 157525362 183779589 367559178 551338767 1102677534 2372058737 4744117474 7116176211 14232352422 16604411159 21348528633 33208822318 42697057266 49813233477 97254408217 99626466954 149439700431 194508816434 291763224651 298879400862 583526449302 680780857519 875289673953 1361561715038 1750579347906 2042342572557 4084685145114 6127027717671 12254055435342