Search a number
-
+
12025103521794 = 2311163225792659
BaseRepresentation
bin1010111011111101000000…
…0001100001100000000010
31120120120220010210010210220
42232333100001201200002
53034004403000144134
641324131205403510
72350533163304466
oct256772001414002
946516803703726
1012025103521794
1139168aa498330
121422666a09596
13692c685008ac
142d80379d24a6
1515cc01c41149
hexaefd0061802

12025103521794 has 96 divisors (see below), whose sum is σ = 26418705465600. Its totient is φ = 3618849350880.

The previous prime is 12025103521771. The next prime is 12025103521807. The reversal of 12025103521794 is 49712530152021.

It is a super-2 number, since 2×120251035217942 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4522414437 + ... + 4522417095.

It is an arithmetic number, because the mean of its divisors is an integer number (275194848600).

Almost surely, 212025103521794 is an apocalyptic number.

12025103521794 is an abundant number, since it is smaller than the sum of its proper divisors (14393601943806).

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

12025103521794 is a wasteful number, since it uses less digits than its factorization.

12025103521794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 12025103521794 in words is "twelve trillion, twenty-five billion, one hundred three million, five hundred twenty-one thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 66 163 326 489 978 1793 2579 2659 3586 5158 5318 5379 7737 7977 10758 15474 15954 26569 28369 29249 53138 56738 58498 79707 85107 87747 159414 170214 175494 292259 420377 433417 584518 840754 866834 876777 1261131 1300251 1753554 2522262 2600502 4624147 4767587 6857561 9248294 9535174 13715122 13872441 14302761 20572683 27744882 28605522 41145366 68521451 70646971 75433171 137042902 141293942 150866342 205564353 211940913 226299513 411128706 423881826 452599026 753735961 777116681 1117782443 1507471922 1554233362 2235564886 2261207883 2331350043 3353347329 4522415766 4662700086 6706694658 12295606873 24591213746 36886820619 73773641238 182198538209 364397076418 546595614627 1093191229254 2004183920299 4008367840598 6012551760897 12025103521794