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51201853559920 = 24572631612721557
BaseRepresentation
bin10111010010001010111000…
…10010110001010001110000
320201021211221012122222022201
423221011130102301101300
523202342344002404140
6300521450134112544
713533132443214010
oct1351053422612160
9221254835588281
1051201853559920
1115350647561188
1258ab3191ab754
1322754110315ab
14c9027bd8bc40
155dbd2743349a
hex2e915c4b1470

51201853559920 has 160 divisors (see below), whose sum is σ = 136582746144768. Its totient is φ = 17486276865024.

The previous prime is 51201853559887. The next prime is 51201853559921. The reversal of 51201853559920 is 2995535810215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51201853559921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375173782 + ... + 2375195338.

Almost surely, 251201853559920 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 51201853559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68291373072384).

51201853559920 is an abundant number, since it is smaller than the sum of its proper divisors (85380892584848).

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

51201853559920 is a wasteful number, since it uses less digits than its factorization.

51201853559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37967 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 55.

The spelling of 51201853559920 in words is "fifty-one trillion, two hundred one billion, eight hundred fifty-three million, five hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 526 560 1052 1315 1841 2104 2630 3682 4208 5260 7364 9205 10520 14728 16127 18410 21040 21557 29456 32254 36820 43114 64508 73640 80635 86228 107785 112889 129016 147280 150899 161270 172456 215570 225778 258032 301798 322540 344912 431140 451556 564445 603596 645080 754495 862280 903112 1128890 1207192 1290160 1508990 1724560 1806224 2257780 2414384 3017980 4241401 4515560 5669491 6035960 8482802 9031120 11338982 12071920 16965604 21207005 22677964 28347455 29689807 33931208 39686437 42414010 45355928 56694910 59379614 67862416 79372874 84828020 90711856 113389820 118759228 148449035 158745748 169656040 198432185 226779640 237518456 296898070 317491496 339312080 347649739 396864370 453559280 475036912 593796140 634982992 695299478 793728740 1187592280 1390598956 1587457480 1738248695 2375184560 2433548173 2781197912 3174914960 3476497390 4867096346 5562395824 6952994780 9734192692 12167740865 13905989560 19468385384 24335481730 27811979120 38936770768 48670963460 91431881357 97341926920 182863762714 194683853840 365727525428 457159406785 640023169499 731455050856 914318813570 1280046338998 1462910101712 1828637627140 2560092677996 3200115847495 3657275254280 5120185355992 6400231694990 7314550508560 10240370711984 12800463389980 25600926779960 51201853559920