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12264951608 = 23713791671277
BaseRepresentation
bin10110110110000110…
…00100111100111000
31011122202200002121222
423123003010330320
5200104311422413
65345012251212
7612636240260
oct133303047470
934582602558
1012264951608
115224277748
122463610b08
131206010820
14844caa7a0
154bbb59b08
hex2db0c4f38

12264951608 has 128 divisors (see below), whose sum is σ = 28856217600. Its totient is φ = 4758234624.

The previous prime is 12264951581. The next prime is 12264951613. The reversal of 12264951608 is 80615946221.

12264951608 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9603866 + ... + 9605142.

It is an arithmetic number, because the mean of its divisors is an integer number (225439200).

Almost surely, 212264951608 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 12264951608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428108800).

12264951608 is an abundant number, since it is smaller than the sum of its proper divisors (16591265992).

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

12264951608 is a wasteful number, since it uses less digits than its factorization.

12264951608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 12264951608 in words is "twelve billion, two hundred sixty-four million, nine hundred fifty-one thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 79 91 104 158 167 182 316 334 364 553 632 668 728 1027 1106 1169 1277 1336 2054 2171 2212 2338 2554 4108 4342 4424 4676 5108 7189 8216 8684 8939 9352 10216 13193 14378 15197 16601 17368 17878 26386 28756 30394 33202 35756 52772 57512 60788 66404 71512 92351 100883 105544 116207 121576 132808 171509 184702 201766 213259 232414 343018 369404 403532 426518 464828 686036 706181 738808 807064 853036 929656 1200563 1311479 1372072 1412362 1492813 1706072 2401126 2622958 2772367 2824724 2985626 4802252 5245916 5544734 5649448 5971252 9180353 9604504 10491832 11089468 11942504 16847461 18360706 19406569 22178936 33694922 36721412 38813138 67389844 73442824 77626276 117932227 134779688 155252552 219016993 235864454 438033986 471728908 876067972 943457816 1533118951 1752135944 3066237902 6132475804 12264951608