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56241969121152 = 273431317330903
BaseRepresentation
bin11001100100110110110101…
…00101110100011110000000
321101010200100112021202110000
430302123122211310132000
524332432023043334102
6315341112014240000
714563230265503153
oct1462333245643600
9241120315252400
1056241969121152
1116a140a3386631
1263840a17b6000
13254c7970a9829
14dc61a93c3c9a
15677eb186701c
hex3326da974780

56241969121152 has 160 divisors (see below), whose sum is σ = 167909943476880. Its totient is φ = 18687426361344.

The previous prime is 56241969121139. The next prime is 56241969121189. The reversal of 56241969121152 is 25112196914265.

56241969121152 is a `hidden beast` number, since 5 + 6 + 2 + 419 + 6 + 9 + 1 + 211 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5420268 + ... + 11910635.

Almost surely, 256241969121152 is an apocalyptic number.

It is an amenable number.

56241969121152 is an abundant number, since it is smaller than the sum of its proper divisors (111667974355728).

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

56241969121152 is a wasteful number, since it uses less digits than its factorization.

56241969121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17331242 (or 17331221 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 56241969121152 in words is "fifty-six trillion, two hundred forty-one billion, nine hundred sixty-nine million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 313 324 384 432 576 626 648 864 939 1152 1252 1296 1728 1878 2504 2592 2817 3456 3756 5008 5184 5634 7512 8451 10016 10368 11268 15024 16902 20032 22536 25353 30048 33804 40064 45072 50706 60096 67608 90144 101412 120192 135216 180288 202824 270432 360576 405648 540864 811296 1081728 1622592 3245184 17330903 34661806 51992709 69323612 103985418 138647224 155978127 207970836 277294448 311956254 415941672 467934381 554588896 623912508 831883344 935868762 1109177792 1247825016 1403803143 1663766688 1871737524 2218355584 2495650032 2807606286 3327533376 3743475048 4991300064 5424572639 5615212572 6655066752 7486950096 9982600128 10849145278 11230425144 14973900192 16273717917 19965200256 21698290556 22460850288 29947800384 32547435834 43396581112 44921700576 48821153751 59895600768 65094871668 86793162224 89843401152 97642307502 130189743336 146463461253 173586324448 179686802304 195284615004 260379486672 292926922506 347172648896 390569230008 439390383759 520758973344 585853845012 694345297792 781138460016 878780767518 1041517946688 1171707690024 1562276920032 1757561535036 2083035893376 2343415380048 3124553840064 3515123070072 4686830760096 6249107680128 7030246140144 9373661520192 14060492280288 18747323040384 28120984560576 56241969121152