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11848853123142 = 2374361131821027
BaseRepresentation
bin1010110001101100011010…
…1011100111000001000110
31112221201221221120012122020
42230123012223213001012
53023112422344420032
641111142111544010
72332023424525650
oct254330653470106
945851857505566
1011848853123142
113859085764142
1213b4478b2b006
1367c45a658a89
142cd6b7ba96d0
151583387eab2c
hexac6c6ae7046

11848853123142 has 128 divisors (see below), whose sum is σ = 28382294274048. Its totient is φ = 3227617411200.

The previous prime is 11848853123053. The next prime is 11848853123143. The reversal of 11848853123142 is 24132135884811.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11848853123143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14021233 + ... + 14842259.

It is an arithmetic number, because the mean of its divisors is an integer number (221736674016).

Almost surely, 211848853123142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11848853123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191147137024).

11848853123142 is an abundant number, since it is smaller than the sum of its proper divisors (16533441150906).

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

11848853123142 is a wasteful number, since it uses less digits than its factorization.

11848853123142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821274.

The product of its digits is 1474560, while the sum is 51.

The spelling of 11848853123142 in words is "eleven trillion, eight hundred forty-eight billion, eight hundred fifty-three million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 61 86 122 129 131 183 258 262 301 366 393 427 602 786 854 903 917 1281 1806 1834 2562 2623 2751 5246 5502 5633 7869 7991 11266 15738 15982 16899 18361 23973 33798 36722 39431 47946 55083 55937 78862 110166 111874 118293 167811 236586 335622 343613 687226 821027 1030839 1642054 2061678 2405291 2463081 4810582 4926162 5747189 7215873 11494378 14431746 17241567 34483134 35304161 50082647 70608322 100165294 105912483 107554537 150247941 211824966 215109074 247129127 300495882 322663611 350578529 494258254 645327222 701157058 741387381 752881759 1051735587 1482774762 1505763518 2103471174 2153553821 2258645277 4307107642 4517290554 4624845091 6460661463 6560826757 9249690182 12921322926 13121653514 13874535273 15074876747 19682480271 27749070546 30149753494 32373915637 39364960542 45224630241 45925787299 64747831274 90449260482 91851574598 97121746911 137777361897 194243493822 275554723794 282115550551 564231101102 846346651653 1692693303306 1974808853857 3949617707714 5924426561571 11848853123142