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12434011452 = 22324173115399
BaseRepresentation
bin10111001010001111…
…11111010100111100
31012002112210020010200
423211013333110330
5200431101331302
65413452003500
7620061232152
oct134507772474
935075706120
1012434011452
115300747925
1224b0160590
131232053c35
1485d5173d2
154cb90181c
hex2e51ff53c

12434011452 has 72 divisors (see below), whose sum is σ = 32638351200. Its totient is φ = 3988154880.

The previous prime is 12434011423. The next prime is 12434011453. The reversal of 12434011452 is 25411043421.

12434011452 is a `hidden beast` number, since 1 + 243 + 401 + 14 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12434011453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50049 + ... + 165447.

Almost surely, 212434011452 is an apocalyptic number.

12434011452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12434011452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16319175600).

12434011452 is an abundant number, since it is smaller than the sum of its proper divisors (20204339748).

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

12434011452 is a wasteful number, since it uses less digits than its factorization.

12434011452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115523 (or 115518 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12434011452 its reverse (25411043421), we get a palindrome (37845054873).

The spelling of 12434011452 in words is "twelve billion, four hundred thirty-four million, eleven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 438 492 657 738 876 1314 1476 2628 2993 5986 8979 11972 17958 26937 35916 53874 107748 115399 230798 346197 461596 692394 1038591 1384788 2077182 4154364 4731359 8424127 9462718 14194077 16848254 18925436 25272381 28388154 33696508 42582231 50544762 56776308 75817143 85164462 101089524 151634286 170328924 303268572 345389207 690778414 1036167621 1381556828 2072335242 3108502863 4144670484 6217005726 12434011452