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12050358192340 = 22513891294140241
BaseRepresentation
bin1010111101011011000101…
…0100011100100011010100
31120200000002011220022221021
42233112301110130203110
53034413113144123330
641343505204530524
72352416052412546
oct257266124344324
946600064808837
1012050358192340
11392658a058086
1214275346b0a44
13695461723630
142d9351b0d696
1515d6cde6b67a
hexaf5b151c8d4

12050358192340 has 96 divisors (see below), whose sum is σ = 27561369134880. Its totient is φ = 4398920908800.

The previous prime is 12050358192337. The next prime is 12050358192347. The reversal of 12050358192340 is 4329185305021.

It is a happy number.

12050358192340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7912665198916 + 4137692993424 = 2812946^2 + 2034132^2 .

It is a super-2 number, since 2×120503581923402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050358192347) 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, 299434620 + ... + 299474860.

It is an arithmetic number, because the mean of its divisors is an integer number (287097595155).

Almost surely, 212050358192340 is an apocalyptic number.

12050358192340 is a gapful number since it is divisible by the number (10) 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 12050358192340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780684567440).

12050358192340 is an abundant number, since it is smaller than the sum of its proper divisors (15511010942540).

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

12050358192340 is a wasteful number, since it uses less digits than its factorization.

12050358192340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53293 (or 53291 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 12050358192340 in words is "twelve trillion, fifty billion, three hundred fifty-eight million, one hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 12941 23140 25882 40241 51764 64705 80482 129410 160964 168233 201205 258820 336466 402410 523133 672932 804820 841165 1046266 1151749 1682330 2092532 2303498 2615665 3364660 3581449 4606996 5231330 5758745 7162898 10462660 11517490 14325796 14972737 17907245 23034980 29945474 35814490 46558837 59890948 71628980 74863685 93117674 149727370 186235348 232794185 299454740 465588370 520758781 931176740 1041517562 2083035124 2603793905 5207587810 6769864153 10415175620 13539728306 27079456612 33849320765 46347531509 67698641530 92695063018 135397283060 185390126036 231737657545 463475315090 602517909617 926950630180 1205035819234 2410071638468 3012589548085 6025179096170 12050358192340