Search a number
-
+
11708664912 = 2433717322381
BaseRepresentation
bin10101110011110010…
…00000110001010000
31010012222220210202000
422321321000301100
5142434404234122
65213501154000
7563103003210
oct127171006120
933188823660
1011708664912
114a6926627a
12232925b900
1311479ab9b9
147d1062240
15487dc40ac
hex2b9e40c50

11708664912 has 160 divisors (see below), whose sum is σ = 38633122560. Its totient is φ = 3325847040.

The previous prime is 11708664893. The next prime is 11708664917. The reversal of 11708664912 is 21946680711.

11708664912 is a `hidden beast` number, since 11 + 70 + 86 + 6 + 491 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11708664917) 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, 511962 + ... + 534342.

It is an arithmetic number, because the mean of its divisors is an integer number (241457016).

Almost surely, 211708664912 is an apocalyptic number.

11708664912 is a gapful number since it is divisible by the number (12) 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 11708664912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19316561280).

11708664912 is an abundant number, since it is smaller than the sum of its proper divisors (26924457648).

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

11708664912 is a wasteful number, since it uses less digits than its factorization.

11708664912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22578 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11708664912 in words is "eleven billion, seven hundred eight million, six hundred sixty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 173 189 216 252 336 346 378 432 504 519 692 756 1008 1038 1211 1384 1512 1557 2076 2422 2768 3024 3114 3633 4152 4671 4844 6228 7266 8304 9342 9688 10899 12456 14532 18684 19376 21798 22381 24912 29064 32697 37368 43596 44762 58128 65394 67143 74736 87192 89524 130788 134286 156667 174384 179048 201429 261576 268572 313334 358096 402858 470001 523152 537144 604287 626668 805716 940002 1074288 1208574 1253336 1410003 1611432 1880004 2417148 2506672 2820006 3222864 3760008 3871913 4230009 4834296 5640012 7520016 7743826 8460018 9668592 11280024 11615739 15487652 16920036 22560048 23231478 27103391 30975304 33840072 34847217 46462956 54206782 61950608 67680144 69694434 81310173 92925912 104541651 108413564 139388868 162620346 185851824 209083302 216827128 243930519 278777736 325240692 418166604 433654256 487861038 557555472 650481384 731791557 836333208 975722076 1300962768 1463583114 1672666416 1951444152 2927166228 3902888304 5854332456 11708664912