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11798259312 = 2437298111493
BaseRepresentation
bin10101111110011101…
…10010011001110000
31010110020111200011010
422333032302121300
5143130323244222
65230421350520
7565241356320
oct127716623160
933406450133
1011798259312
11500489a934
122353268440
13116041b138
147dcd05280
15490bc080c
hex2bf3b2670

11798259312 has 160 divisors (see below), whose sum is σ = 36102689280. Its totient is φ = 3248501760.

The previous prime is 11798259311. The next prime is 11798259313. The reversal of 11798259312 is 21395289711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11798259311) and next prime (11798259313).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11798259311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7901638 + ... + 7903130.

It is an arithmetic number, because the mean of its divisors is an integer number (225641808).

Almost surely, 211798259312 is an apocalyptic number.

11798259312 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 11798259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051344640).

11798259312 is an abundant number, since it is smaller than the sum of its proper divisors (24304429968).

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

11798259312 is a wasteful number, since it uses less digits than its factorization.

11798259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2345 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 11798259312 in words is "eleven billion, seven hundred ninety-eight million, two hundred fifty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 811 812 1218 1392 1493 1622 1624 2433 2436 2986 3244 3248 4479 4866 4872 5677 5972 6488 8958 9732 9744 10451 11354 11944 12976 17031 17916 19464 20902 22708 23519 23888 31353 34062 35832 38928 41804 43297 45416 47038 62706 68124 70557 71664 83608 86594 90832 94076 125412 129891 136248 141114 164633 167216 173188 188152 250824 259782 272496 282228 303079 329266 346376 376304 493899 501648 519564 564456 606158 658532 692752 909237 987798 1039128 1128912 1210823 1212316 1317064 1818474 1975596 2078256 2421646 2424632 2634128 3632469 3636948 3951192 4843292 4849264 7264938 7273896 7902384 8475761 9686584 14529876 14547792 16951522 19373168 25427283 29059752 33903044 35113867 50854566 58119504 67806088 70227734 101709132 105341601 135612176 140455468 203418264 210683202 245797069 280910936 406836528 421366404 491594138 561821872 737391207 842732808 983188276 1474782414 1685465616 1966376552 2949564828 3932753104 5899129656 11798259312