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56305315549620 = 223251639187208889
BaseRepresentation
bin11001100110101100110100…
…10101010001000110110100
321101100201212020202202001100
430303112122111101012310
524340001241240041440
6315430145504130100
714600632131324114
oct1463263225210664
9241321766682040
1056305315549620
1116a38a4a829955
126394420306930
132555750c238b7
14dc929849b044
1567996cc8e230
hex33359a5511b4

56305315549620 has 144 divisors (see below), whose sum is σ = 171860126518080. Its totient is φ = 14920940026368.

The previous prime is 56305315549601. The next prime is 56305315549661. The reversal of 56305315549620 is 2694551350365.

56305315549620 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 5 + 3 + 1 + 5 + 5 + 4 + 9 + 620 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269442136 + ... + 269651024.

It is an arithmetic number, because the mean of its divisors is an integer number (1193473100820).

Almost surely, 256305315549620 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 56305315549620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85930063259040).

56305315549620 is an abundant number, since it is smaller than the sum of its proper divisors (115554810968460).

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

56305315549620 is a wasteful number, since it uses less digits than its factorization.

56305315549620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218254 (or 218249 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

Adding to 56305315549620 its reverse (2694551350365), we get a palindrome (58999866899985).

The spelling of 56305315549620 in words is "fifty-six trillion, three hundred five billion, three hundred fifteen million, five hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 7335 9187 9780 14670 18374 27561 29340 36748 45935 55122 82683 91870 110244 137805 165366 183740 208889 275610 330732 413415 417778 551220 626667 826830 835556 1044445 1253334 1497481 1653660 1880001 2088890 2506668 2994962 3133335 3760002 4177780 4492443 5989924 6266670 7487405 7520004 8984886 9400005 12533340 13477329 14974810 17969772 18800010 22462215 26954658 29949620 34048907 37600020 44924430 53909316 67386645 68097814 89848860 102146721 134773290 136195628 170244535 204293442 269546580 306440163 340489070 408586884 510733605 612880326 680978140 1021467210 1225760652 1532200815 1919063243 2042934420 3064401630 3838126486 5757189729 6128803260 7676252972 9595316215 11514379458 17271569187 19190632430 23028758916 28785948645 34543138374 38381264860 57571897290 69086276748 86357845935 115143794580 172715691870 312807308609 345431383740 625614617218 938421925827 1251229234436 1564036543045 1876843851654 2815265777481 3128073086090 3753687703308 4692109629135 5630531554962 6256146172180 9384219258270 11261063109924 14076328887405 18768438516540 28152657774810 56305315549620