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12369553434 = 23274433661
BaseRepresentation
bin10111000010100100…
…00110100000011010
31011221001111102100200
423201102012200122
5200313101202214
65403230243030
7615346320000
oct134122064032
934831442320
1012369553434
115278321637
122492656476
1312218a5ab4
14854b38a70
154c5e1cd09
hex2e148681a

12369553434 has 120 divisors (see below), whose sum is σ = 31385238612. Its totient is φ = 3520661760.

The previous prime is 12369553429. The next prime is 12369553459. The reversal of 12369553434 is 43435596321.

12369553434 is a `hidden beast` number, since 1 + 2 + 3 + 69 + 553 + 4 + 34 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12317670225 + 51883209 = 110985^2 + 7203^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12369553434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18713064 + ... + 18713724.

Almost surely, 212369553434 is an apocalyptic number.

12369553434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12369553434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692619306).

12369553434 is an abundant number, since it is smaller than the sum of its proper divisors (19015685178).

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

12369553434 is an equidigital number, since it uses as much as digits as its factorization.

12369553434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1106 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 12369553434 in words is "twelve billion, three hundred sixty-nine million, five hundred fifty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 433 441 661 686 866 882 1029 1299 1322 1983 2058 2401 2598 3031 3087 3897 3966 4627 4802 5949 6062 6174 7203 7794 9093 9254 11898 13881 14406 18186 21217 21609 27279 27762 32389 41643 42434 43218 54558 63651 64778 83286 97167 127302 148519 190953 194334 226723 286213 291501 297038 381906 445557 453446 572426 583002 680169 858639 891114 1039633 1336671 1360338 1587061 1717278 2003491 2040507 2079266 2575917 2673342 3118899 3174122 4006982 4081014 4761183 5151834 6010473 6237798 9356697 9522366 12020946 14024437 14283549 18031419 18713394 28048874 28567098 36062838 42073311 84146622 98171059 126219933 196342118 252439866 294513177 589026354 687197413 883539531 1374394826 1767079062 2061592239 4123184478 6184776717 12369553434