Search a number
-
+
56082481259808 = 25313121407208319
BaseRepresentation
bin11001100000001101110000…
…10111111010010100100000
321100120102200112201221121110
430300012320113322110200
524322323410200303213
6315135534120023320
714545553111161443
oct1460067027722440
9240512615657543
1056082481259808
11169624a0670863
1263591b1601b40
13253a72ac85143
14dbc59990565a
15673c79d3e5c3
hex3301b85fa520

56082481259808 has 96 divisors (see below), whose sum is σ = 148347945123840. Its totient is φ = 18550501249280.

The previous prime is 56082481259803. The next prime is 56082481259843. The reversal of 56082481259808 is 80895218428065.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (56082481259801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269110273 + ... + 269318591.

It is an arithmetic number, because the mean of its divisors is an integer number (1545291095040).

Almost surely, 256082481259808 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 56082481259808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173972561920).

56082481259808 is an abundant number, since it is smaller than the sum of its proper divisors (92265463864032).

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

56082481259808 is a wasteful number, since it uses less digits than its factorization.

56082481259808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229870 (or 229862 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 66.

The spelling of 56082481259808 in words is "fifty-six trillion, eighty-two billion, four hundred eighty-one million, two hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 21407 42814 64221 85628 128442 171256 208319 256884 342512 416638 513768 624957 685024 833276 1027536 1249914 1666552 2055072 2499828 2804317 3333104 4999656 5608634 6666208 8412951 9999312 11217268 16825902 19998624 22434536 27289789 33651804 44869072 54579578 67303608 81869367 89738144 109159156 134607216 163738734 218318312 269214432 327477468 436636624 654954936 873273248 1309909872 2619819744 4459484833 8918969666 13378454499 17837939332 26756908998 35675878664 53513817996 71351757328 107027635992 142703514656 214055271984 428110543968 584192513123 1168385026246 1752577539369 2336770052492 3505155078738 4673540104984 7010310157476 9347080209968 14020620314952 18694160419936 28041240629904 56082481259808