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11343647916 = 2234163347619
BaseRepresentation
bin10101001000010001…
…00101010010101100
31002021120002000120000
422210020211102230
5141212433213131
65113341424300
7551051262546
oct124410452254
932246060500
1011343647916
1148a1214637
122246b6b090
1310ba198503
147987a6696
15465d20ce6
hex2a42254ac

11343647916 has 120 divisors (see below), whose sum is σ = 29970790080. Its totient is φ = 3741134688.

The previous prime is 11343647897. The next prime is 11343647927. The reversal of 11343647916 is 61974634311.

11343647916 is a `hidden beast` number, since 1 + 134 + 36 + 479 + 16 = 666.

It is a super-2 number, since 2×113436479162 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (326592) is a multiple of the sum of its prime divisors (1134).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18325455 + ... + 18326073.

It is an arithmetic number, because the mean of its divisors is an integer number (249756584).

Almost surely, 211343647916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11343647916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985395040).

11343647916 is an abundant number, since it is smaller than the sum of its proper divisors (18627142164).

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

11343647916 is a wasteful number, since it uses less digits than its factorization.

11343647916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 11343647916 in words is "eleven billion, three hundred forty-three million, six hundred forty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 347 489 619 652 694 978 1041 1238 1388 1467 1857 1956 2082 2476 2934 3123 3714 4164 4401 5571 5868 6246 7428 8802 9369 11142 12492 13203 16713 17604 18738 22284 26406 28107 33426 37476 50139 52812 56214 56561 66852 100278 100897 112428 113122 169683 200556 201794 214793 226244 302691 339366 403588 429586 509049 605382 644379 678732 859172 908073 1018098 1210764 1288758 1527147 1816146 1933137 2036196 2577516 2724219 3054294 3632292 3866274 4581441 5448438 5799411 6108588 7732548 8172657 9162882 10896876 11598822 16345314 17398233 18325764 23197644 32690628 34796466 35011259 69592932 70022518 105033777 140045036 210067554 315101331 420135108 630202662 945303993 1260405324 1890607986 2835911979 3781215972 5671823958 11343647916