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12397469168016 = 2432192154432
BaseRepresentation
bin1011010001101000001010…
…1111101111000110010000
31121220012000221102212222100
42310122002233233012100
53111110004101334031
642211152501440400
72416454562132432
oct264320257570620
947805027385870
1012397469168016
113a4a812164719
121482867410100
136bc0cb8c4bba
1430c07d9c6652
1516774754cde6
hexb4682bef190

12397469168016 has 135 divisors (see below), whose sum is σ = 36620265448299. Its totient is φ = 3914736751296.

The previous prime is 12397469168011. The next prime is 12397469168057. The reversal of 12397469168016 is 61086196479321.

The square root of 12397469168016 is 3521004.

It is a perfect power (a square), and thus also a powerful number.

12397469168016 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 7 + 469 + 168 + 0 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12397469168011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 802781191 + ... + 802796633.

Almost surely, 212397469168016 is an apocalyptic number.

12397469168016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12397469168016 is the 3521004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12397469168016

12397469168016 is an abundant number, since it is smaller than the sum of its proper divisors (24222796280283).

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

12397469168016 is an frugal number, since it uses more digits than its factorization.

12397469168016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30938 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 12397469168016 in words is "twelve trillion, three hundred ninety-seven billion, four hundred sixty-nine million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4332 5776 6498 8664 12996 15443 17328 25992 30886 46329 51984 61772 92658 123544 138987 185316 247088 277974 293417 370632 555948 586834 741264 880251 1111896 1173668 1760502 2223792 2347336 2640753 3521004 4694672 5281506 5574923 7042008 10563012 11149846 14084016 16724769 21126024 22299692 33449538 42252048 44599384 50174307 66899076 89198768 100348614 133798152 200697228 238486249 267596304 401394456 476972498 715458747 802788912 953944996 1430917494 1907889992 2146376241 2861834988 3815779984 4292752482 4531238731 5723669976 8585504964 9062477462 11447339952 13593716193 17171009928 18124954924 27187432386 34342019856 36249909848 40781148579 54374864772 72499819696 81562297158 86093535889 108749729544 163124594316 172187071778 217499459088 258280607667 326249188632 344374143556 516561215334 652498377264 688748287112 774841823001 1033122430668 1377496574224 1549683646002 2066244861336 3099367292004 4132489722672 6198734584008 12397469168016