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12338917685952 = 2631113449406967
BaseRepresentation
bin1011001110001110000011…
…0011100011101011000000
31121200120220101111102021120
42303203200303203223000
53104130100411422302
642124230500152240
72412312611553204
oct263434063435300
947616811442246
1012338917685952
113a279a63a4620
121473446698680
136b672a2a3120
143092c7674b04
15165e6c0759bc
hexb38e0ce3ac0

12338917685952 has 112 divisors (see below), whose sum is σ = 38354188276992. Its totient is φ = 3451445498880.

The previous prime is 12338917685903. The next prime is 12338917686031. The reversal of 12338917685952 is 25958671983321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224676028 + ... + 224730939.

It is an arithmetic number, because the mean of its divisors is an integer number (342448109616).

Almost surely, 212338917685952 is an apocalyptic number.

12338917685952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12338917685952 is an abundant number, since it is smaller than the sum of its proper divisors (26015270591040).

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

12338917685952 is a wasteful number, since it uses less digits than its factorization.

12338917685952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449407006 (or 449406996 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 69.

The spelling of 12338917685952 in words is "twelve trillion, three hundred thirty-eight billion, nine hundred seventeen million, six hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 6864 9152 13728 27456 449406967 898813934 1348220901 1797627868 2696441802 3595255736 4943476637 5392883604 5842290571 7190511472 9886953274 10785767208 11684581142 14381022944 14830429911 17526871713 19773906548 21571534416 23369162284 28762045888 29660859822 35053743426 39547813096 43143068832 46738324568 59321719644 64265196281 70107486852 79095626192 86286137664 93476649136 118643439288 128530392562 140214973704 158191252384 186953298272 192795588843 237286878576 257060785124 280429947408 316382504768 373906596544 385591177686 474573757152 514121570248 560859894816 771182355372 949147514304 1028243140496 1121719789632 1542364710744 2056486280992 3084729421488 4112972561984 6169458842976 12338917685952