Search a number
-
+
54231886766880 = 25325163231049279
BaseRepresentation
bin11000101010010110110000…
…10110001010001100100000
321010000111222102201020112100
430111023120112022030200
524102013401003020010
6311201441305330400
714265060465423204
oct1425133026121440
9233014872636470
1054231886766880
1116309683291859
1260ba605196a00
132435077a82174
14d56ba1894b04
15640a686602c0
hex3152d858a320

54231886766880 has 144 divisors (see below), whose sum is σ = 186201690554880. Its totient is φ = 14373113485824.

The previous prime is 54231886766873. The next prime is 54231886766887. The reversal of 54231886766880 is 8866768813245.

54231886766880 is a `hidden beast` number, since 5 + 423 + 1 + 8 + 8 + 67 + 6 + 68 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (54231886766873) and next prime (54231886766887).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 54231886766799 and 54231886766808.

It is not an unprimeable number, because it can be changed into a prime (54231886766887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115289920 + ... + 115759359.

It is an arithmetic number, because the mean of its divisors is an integer number (1293067295520).

Almost surely, 254231886766880 is an apocalyptic number.

It is an amenable number.

54231886766880 is an abundant number, since it is smaller than the sum of its proper divisors (131969803788000).

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

54231886766880 is a wasteful number, since it uses less digits than its factorization.

54231886766880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231049463 (or 231049452 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 54231886766880 in words is "fifty-four trillion, two hundred thirty-one billion, eight hundred eighty-six million, seven hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 163 180 240 288 326 360 480 489 652 720 815 978 1304 1440 1467 1630 1956 2445 2608 2934 3260 3912 4890 5216 5868 6520 7335 7824 9780 11736 13040 14670 15648 19560 23472 26080 29340 39120 46944 58680 78240 117360 234720 231049279 462098558 693147837 924197116 1155246395 1386295674 1848394232 2079443511 2310492790 2772591348 3465739185 3696788464 4158887022 4620985580 5545182696 6931478370 7393576928 8317774044 9241971160 10397217555 11090365392 13862956740 16635548088 18483942320 20794435110 22180730784 27725913480 33271096176 36967884640 37661032477 41588870220 55451826960 66542192352 75322064954 83177740440 110903653920 112983097431 150644129908 166355480880 188305162385 225966194862 301288259816 332710961760 338949292293 376610324770 451932389724 564915487155 602576519632 677898584586 753220649540 903864779448 1129830974310 1205153039264 1355797169172 1506441299080 1694746461465 1807729558896 2259661948620 2711594338344 3012882598160 3389492922930 3615459117792 4519323897240 5423188676688 6025765196320 6778985845860 9038647794480 10846377353376 13557971691720 18077295588960 27115943383440 54231886766880