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56727753420 = 22351326838191
BaseRepresentation
bin110100110101001111…
…001101001011001100
312102102110021110022110
4310311033031023030
51412134301102140
642021012344020
74045523643132
oct646517151314
9172373243273
1056727753420
1122070379848
12abb2015010
135470844400
142a6205d752
151720333380
hexd353cd2cc

56727753420 has 144 divisors (see below), whose sum is σ = 172268716032. Its totient is φ = 13941607680.

The previous prime is 56727753413. The next prime is 56727753443. The reversal of 56727753420 is 2435772765.

It is a self number, because there is not a number n which added to its sum of digits gives 56727753420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6921525 + ... + 6929715.

It is an arithmetic number, because the mean of its divisors is an integer number (1196310528).

Almost surely, 256727753420 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 56727753420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86134358016).

56727753420 is an abundant number, since it is smaller than the sum of its proper divisors (115540962612).

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

56727753420 is a wasteful number, since it uses less digits than its factorization.

56727753420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 56727753420 in words is "fifty-six billion, seven hundred twenty-seven million, seven hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 683 780 845 1014 1366 1690 2028 2049 2535 2732 3380 3415 4098 5070 6830 8191 8196 8879 10140 10245 13660 16382 17758 20490 24573 26637 32764 35516 40955 40980 44395 49146 53274 81910 88790 98292 106483 106548 115427 122865 133185 163820 177580 212966 230854 245730 266370 319449 346281 425932 461708 491460 532415 532740 577135 638898 692562 1064830 1154270 1277796 1384279 1385124 1597245 1731405 2129660 2308540 2768558 3194490 3462810 4152837 5537116 5594453 6388980 6921395 6925620 8305674 11188906 13842790 16611348 16783359 20764185 22377812 27685580 27972265 33566718 41528370 55944530 67133436 72727889 83056740 83916795 111889060 145455778 167833590 218183667 290911556 335667180 363639445 436367334 727278890 872734668 945462557 1090918335 1454557780 1890925114 2181836670 2836387671 3781850228 4363673340 4727312785 5672775342 9454625570 11345550684 14181938355 18909251140 28363876710 56727753420