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56857416953220 = 223251343565070731
BaseRepresentation
bin11001110110110001001100…
…01000111110110110000100
321110022111221010221222201200
430323120212020332312010
524423022442220000340
6320531534201222500
714655545536660362
oct1473304610766604
9243274833858650
1056857416953220
1117131105666a94
126463421a91a30
1325958292a1070
141007cb1144632
15688ed29aa330
hex33b62623ed84

56857416953220 has 144 divisors (see below), whose sum is σ = 190053629717952. Its totient is φ = 13670191100160.

The previous prime is 56857416953213. The next prime is 56857416953243. The reversal of 56857416953220 is 2235961475865.

56857416953220 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 74 + 1 + 6 + 9 + 532 + 20 = 666.

56857416953220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282434746 + ... + 282635985.

It is a 1-persistent number, because it is pandigital, but 2⋅56857416953220 = 113714833906440 is not.

Almost surely, 256857416953220 is an apocalyptic number.

It is an amenable number.

56857416953220 is an abundant number, since it is smaller than the sum of its proper divisors (133196212764732).

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

56857416953220 is a wasteful number, since it uses less digits than its factorization.

56857416953220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565070802 (or 565070797 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 56857416953220 in words is "fifty-six trillion, eight hundred fifty-seven billion, four hundred sixteen million, nine hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 11180 16770 20124 25155 33540 50310 100620 565070731 1130141462 1695212193 2260282924 2825353655 3390424386 5085636579 5650707310 6780848772 7345919503 8476060965 10171273158 11301414620 14691839006 16952121930 20342546316 22037758509 24298041433 25428182895 29383678012 33904243860 36729597515 44075517018 48596082866 50856365790 66113275527 72894124299 73459195030 88151034036 97192165732 101712731580 110188792545 121490207165 132226551054 145788248598 146918390060 218682372897 220377585090 242980414330 264453102108 291576497196 315874538629 330566377635 364470621495 437364745794 440755170180 485960828660 631749077258 661132755270 728941242990 874729491588 947623615887 1093411864485 1263498154516 1322265510540 1457882485980 1579372693145 1895247231774 2186823728970 2842870847661 3158745386290 3790494463548 4373647457940 4738118079435 5685741695322 6317490772580 9476236158870 11371483390644 14214354238305 18952472317740 28428708476610 56857416953220