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11616202313140 = 22517151367616513
BaseRepresentation
bin1010100100001001101110…
…0111001100110110110100
31112010111110010000112001111
42221002123213030312310
53010304440243010030
640412224253404404
72306146215342025
oct251023347146664
945114403015044
1011616202313140
113779449410147
12137736a799704
13663531a218a9
142c23275b2c4c
1515226db8262a
hexa909b9ccdb4

11616202313140 has 96 divisors (see below), whose sum is σ = 26070907290624. Its totient is φ = 4332353126400.

The previous prime is 11616202313129. The next prime is 11616202313179. The reversal of 11616202313140 is 4131320261611.

11616202313140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18533524 + ... + 19150036.

It is an arithmetic number, because the mean of its divisors is an integer number (271571950944).

Almost surely, 211616202313140 is an apocalyptic number.

11616202313140 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 11616202313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035453645312).

11616202313140 is an abundant number, since it is smaller than the sum of its proper divisors (14454704977484).

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

11616202313140 is a wasteful number, since it uses less digits than its factorization.

11616202313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617057 (or 617055 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 11616202313140 its reverse (4131320261611), we get a palindrome (15747522574751).

The spelling of 11616202313140 in words is "eleven trillion, six hundred sixteen billion, two hundred two million, three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 302 340 367 604 734 755 1468 1510 1835 2567 3020 3670 5134 6239 7340 10268 12478 12835 24956 25670 31195 51340 55417 62390 110834 124780 221668 277085 554170 616513 942089 1108340 1233026 1884178 2466052 3082565 3768356 4710445 6165130 9420890 10480721 12330260 18841780 20961442 41922884 52403605 93093463 104807210 186186926 209614420 226260271 372373852 452520542 465467315 905041084 930934630 1131301355 1582588871 1861869260 2262602710 3165177742 3846424607 4525205420 6330355484 7692849214 7912944355 15385698428 15825888710 19232123035 31651777420 34165300921 38464246070 68330601842 76928492140 136661203684 170826504605 341653009210 580810115657 683306018420 1161620231314 2323240462628 2904050578285 5808101156570 11616202313140