Search a number
-
+
12381787404 = 2232763177867
BaseRepresentation
bin10111000100000001…
…10001010100001100
31011221220111222012200
423202000301110030
5200324214144104
65404344401500
7615555312360
oct134200612414
934856458180
1012381787404
115284218158
122496776290
13122429a42c
148566012a0
154c7037b39
hex2e203150c

12381787404 has 72 divisors (see below), whose sum is σ = 35826755328. Its totient is φ = 3532001760.

The previous prime is 12381787357. The next prime is 12381787459. The reversal of 12381787404 is 40478718321.

12381787404 is a `hidden beast` number, since 1 + 238 + 1 + 7 + 8 + 7 + 404 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12381787404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120079 + ... + 197945.

It is an arithmetic number, because the mean of its divisors is an integer number (497593824).

Almost surely, 212381787404 is an apocalyptic number.

12381787404 is a gapful number since it is divisible by the number (14) 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 12381787404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913377664).

12381787404 is an abundant number, since it is smaller than the sum of its proper divisors (23444967924).

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

12381787404 is a wasteful number, since it uses less digits than its factorization.

12381787404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78515 (or 78510 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 12381787404 in words is "twelve billion, three hundred eighty-one million, seven hundred eighty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 631 1262 1893 2524 3786 4417 5679 7572 8834 11358 13251 17668 22716 26502 39753 53004 77867 79506 155734 159012 233601 311468 467202 545069 700803 934404 1090138 1401606 1635207 2180276 2803212 3270414 4905621 6540828 9811242 19622484 49134077 98268154 147402231 196536308 294804462 343938539 442206693 589608924 687877078 884413386 1031815617 1375754156 1768826772 2063631234 3095446851 4127262468 6190893702 12381787404