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12353002929348 = 22338364111513643
BaseRepresentation
bin1011001111000010100001…
…0110011111110011000100
31121201221021000100220210220
42303300220112133303010
53104342422222214343
642134520255544340
72413321633263564
oct263605026376304
947657230326726
1012353002929348
113a32974125444
12147611782b0b0
136b7b63459b83
14309c621bada4
151664e38e6183
hexb3c2859fcc4

12353002929348 has 96 divisors (see below), whose sum is σ = 28977114120192. Its totient is φ = 4095822336000.

The previous prime is 12353002929301. The next prime is 12353002929349. The reversal of 12353002929348 is 84392920035321.

12353002929348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12353002929348.

It is not an unprimeable number, because it can be changed into a prime (12353002929349) 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, 3390885615 + ... + 3390889257.

It is an arithmetic number, because the mean of its divisors is an integer number (301844938752).

Almost surely, 212353002929348 is an apocalyptic number.

It is an amenable number.

12353002929348 is an abundant number, since it is smaller than the sum of its proper divisors (16624111190844).

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

12353002929348 is a wasteful number, since it uses less digits than its factorization.

12353002929348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 12353002929348 in words is "twelve trillion, three hundred fifty-three billion, two million, nine hundred twenty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 383 641 766 1149 1151 1282 1532 1923 2298 2302 2564 3453 3643 3846 4596 4604 6906 7286 7692 10929 13812 14572 21858 43716 245503 440833 491006 736509 737791 881666 982012 1322499 1395269 1473018 1475582 1763332 2213373 2335163 2644998 2790538 2946036 2951164 4185807 4193093 4426746 4670326 5289996 5581076 7005489 8371614 8386186 8853492 9340652 12579279 14010978 16743228 16772372 25158558 28021956 50317116 282573953 565147906 847721859 894367429 1130295812 1605954619 1695443718 1788734858 2683102287 2687772613 3211909238 3390887436 3577469716 4817863857 5366204574 5375545226 6423818476 8063317839 9635727714 10732409148 10751090452 16126635678 19271455428 32253271356 1029416910779 2058833821558 3088250732337 4117667643116 6176501464674 12353002929348