Search a number
-
+
11919601104312 = 23311176143539059
BaseRepresentation
bin1010110101110011111110…
…0101101111010110111000
31120012111120111101000210010
42231130333211233112320
53030242320340314222
641203442242421520
72340106553455506
oct255347745572670
946174514330703
1011919601104312
113886090097570
1214061223618a0
13686023a42025
142d2ca9c89676
1515a0c990a80c
hexad73f96f5b8

11919601104312 has 128 divisors (see below), whose sum is σ = 34984505491200. Its totient is φ = 3343799654400.

The previous prime is 11919601104311. The next prime is 11919601104331. The reversal of 11919601104312 is 21340110691911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919601104311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21495762 + ... + 22043297.

It is an arithmetic number, because the mean of its divisors is an integer number (273316449150).

Almost surely, 211919601104312 is an apocalyptic number.

11919601104312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11919601104312 is an abundant number, since it is smaller than the sum of its proper divisors (23064904386888).

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

11919601104312 is a wasteful number, since it uses less digits than its factorization.

11919601104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43539157 (or 43539153 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 11919601104312 in words is "eleven trillion, nine hundred nineteen billion, six hundred one million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 61 66 68 88 102 122 132 136 183 187 204 244 264 366 374 408 488 561 671 732 748 1037 1122 1342 1464 1496 2013 2074 2244 2684 3111 4026 4148 4488 5368 6222 8052 8296 11407 12444 16104 22814 24888 34221 45628 68442 91256 136884 273768 43539059 87078118 130617177 174156236 261234354 348312472 478929649 522468708 740164003 957859298 1044937416 1436788947 1480328006 1915718596 2220492009 2655882599 2873577894 2960656012 3831437192 4440984018 5311765198 5747155788 5921312024 7967647797 8141804033 8881968036 10623530396 11494311576 15935295594 16283608066 17763936072 21247060792 24425412099 29214708589 31870591188 32567216132 45150004183 48850824198 58429417178 63741182376 65134432264 87644125767 90300008366 97701648396 116858834356 135450012549 175288251534 180600016732 195403296792 233717668712 270900025098 350576503068 361200033464 496650046013 541800050196 701153006136 993300092026 1083600100392 1489950138039 1986600184052 2979900276078 3973200368104 5959800552156 11919601104312