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12924673007160 = 23353722313053643
BaseRepresentation
bin1011110000010100001010…
…0010110001111000111000
31200202120211200110210222210
42330011002202301320320
53143224212242212120
643253302433415120
72502530305622355
oct274050242617070
950676750423883
1012924673007160
114133360a70102
121548a7aa0a4a0
13729a39a230c5
143297b3b4d62c
1517630157cce0
hexbc1428b1e38

12924673007160 has 128 divisors (see below), whose sum is σ = 40000542382080. Its totient is φ = 3338390619648.

The previous prime is 12924673007149. The next prime is 12924673007167. The reversal of 12924673007160 is 6170037642921.

It is a super-2 number, since 2×129246730071602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12924673007167) 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, 5536702 + ... + 7516941.

It is an arithmetic number, because the mean of its divisors is an integer number (312504237360).

Almost surely, 212924673007160 is an apocalyptic number.

12924673007160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12924673007160 is an abundant number, since it is smaller than the sum of its proper divisors (27075869374920).

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

12924673007160 is a wasteful number, since it uses less digits than its factorization.

12924673007160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13053917 (or 13053913 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 12924673007160 in words is "twelve trillion, nine hundred twenty-four billion, six hundred seventy-three million, seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 223 296 370 444 446 555 669 740 888 892 1110 1115 1338 1480 1784 2220 2230 2676 3345 4440 4460 5352 6690 8251 8920 13380 16502 24753 26760 33004 41255 49506 66008 82510 99012 123765 165020 198024 247530 330040 495060 990120 13053643 26107286 39160929 52214572 65268215 78321858 104429144 130536430 156643716 195804645 261072860 313287432 391609290 482984791 522145720 783218580 965969582 1448954373 1566437160 1931939164 2414923955 2897908746 2910962389 3863878328 4829847910 5795817492 5821924778 7244771865 8732887167 9659695820 11591634984 11643849556 14489543730 14554811945 17465774334 19319391640 23287699112 28979087460 29109623890 34931548668 43664435835 57958174920 58219247780 69863097336 87328871670 107705608393 116438495560 174657743340 215411216786 323116825179 349315486680 430822433572 538528041965 646233650358 861644867144 1077056083930 1292467300716 1615584125895 2154112167860 2584934601432 3231168251790 4308224335720 6462336503580 12924673007160