Search a number
-
+
12331167352 = 23719311732161
BaseRepresentation
bin10110111101111111…
…01010111001111000
31011211101021012112221
423132333222321320
5200223234323402
65355335413424
7614402123140
oct133677527170
934741235487
1012331167352
1152586935a9
122481824274
131216955a3a
1484d9c5920
154c2889337
hex2defeae78

12331167352 has 128 divisors (see below), whose sum is σ = 28891238400. Its totient is φ = 4814899200.

The previous prime is 12331167349. The next prime is 12331167391. The reversal of 12331167352 is 25376113321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5705152 + ... + 5707312.

It is an arithmetic number, because the mean of its divisors is an integer number (225712800).

Almost surely, 212331167352 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 12331167352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445619200).

12331167352 is an abundant number, since it is smaller than the sum of its proper divisors (16560071048).

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

12331167352 is a wasteful number, since it uses less digits than its factorization.

12331167352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The spelling of 12331167352 in words is "twelve billion, three hundred thirty-one million, one hundred sixty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 173 217 248 266 346 434 532 589 692 868 1064 1178 1211 1384 1736 2161 2356 2422 3287 4123 4322 4712 4844 5363 6574 8246 8644 9688 10726 13148 15127 16492 17288 21452 23009 26296 30254 32984 37541 41059 42904 46018 60508 66991 75082 82118 92036 101897 121016 133982 150164 164236 184072 203794 267964 287413 300328 328472 373853 407588 468937 535928 574826 713279 747706 815176 937874 1149652 1272829 1426558 1495412 1875748 2299304 2545658 2616971 2853116 2990824 3751496 5091316 5233942 5706232 7103207 8909803 10182632 10467884 11589443 14206414 17819606 20935768 23178886 28412828 35639212 46357772 49722449 56825656 71278424 81126101 92715544 99444898 162252202 198889796 220199417 324504404 397779592 440398834 649008808 880797668 1541395919 1761595336 3082791838 6165583676 12331167352