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12433714969896 = 23331140491292429
BaseRepresentation
bin1011010011101111001100…
…1010011111110100101000
31122000122120222022101211000
42310323303022133310220
53112203222013014041
642235545251035000
72422210022305263
oct264736312376450
948018528271730
1012433714969896
113a64121a55090
1214898a1b9ba60
136c2656c5864c
1430db1b745cda
15168669664bb6
hexb4ef329fd28

12433714969896 has 128 divisors (see below), whose sum is σ = 37687258800000. Its totient is φ = 3766858951680.

The previous prime is 12433714969883. The next prime is 12433714969919. The reversal of 12433714969896 is 69896941733421.

12433714969896 is a `hidden beast` number, since 1 + 2 + 4 + 337 + 149 + 69 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8974210 + ... + 10266638.

It is an arithmetic number, because the mean of its divisors is an integer number (294431709375).

Almost surely, 212433714969896 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 12433714969896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18843629400000).

12433714969896 is an abundant number, since it is smaller than the sum of its proper divisors (25253543830104).

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

12433714969896 is a wasteful number, since it uses less digits than its factorization.

12433714969896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296504 (or 1296494 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 12433714969896 in words is "twelve trillion, four hundred thirty-three billion, seven hundred fourteen million, nine hundred sixty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4049 8098 12147 16196 24294 32392 36441 44539 48588 72882 89078 97176 109323 133617 145764 178156 218646 267234 291528 356312 400851 437292 534468 801702 874584 1068936 1202553 1292429 1603404 2405106 2584858 3206808 3877287 4810212 5169716 7754574 9620424 10339432 11631861 14216719 15509148 23263722 28433438 31018296 34895583 42650157 46527444 56866876 69791166 85300314 93054888 113733752 127950471 139582332 170600628 255900942 279164664 341201256 383851413 511801884 767702826 1023603768 1535405652 3070811304 5233045021 10466090042 15699135063 20932180084 31398270126 41864360168 47097405189 57563495231 62796540252 94194810378 115126990462 125593080504 141292215567 172690485693 188389620756 230253980924 282584431134 345380971386 376779241512 460507961848 518071457079 565168862268 690761942772 1036142914158 1130337724536 1381523885544 1554214371237 2072285828316 3108428742474 4144571656632 6216857484948 12433714969896