Search a number
-
+
5664662350056 = 2332821466320551
BaseRepresentation
bin101001001101110100000…
…1011111110100011101000
3202001112111001120220120100
41102123220023332203220
51220302212030200211
620014150541225400
71123154420343153
oct122335013764350
922045431526510
105664662350056
111894408245786
12775a23b62260
13321238389768
141582577aac9a
159c53e29e156
hex526e82fe8e8

5664662350056 has 96 divisors (see below), whose sum is σ = 15364522293120. Its totient is φ = 1885424688000.

The previous prime is 5664662350013. The next prime is 5664662350073. The reversal of 5664662350056 is 6500532664665.

5664662350056 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 6 + 623 + 5 + 0 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5664662349984 and 5664662350011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275628981 + ... + 275649531.

It is an arithmetic number, because the mean of its divisors is an integer number (160047107220).

Almost surely, 25664662350056 is an apocalyptic number.

It is an amenable number.

5664662350056 is an abundant number, since it is smaller than the sum of its proper divisors (9699859943064).

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

5664662350056 is a wasteful number, since it uses less digits than its factorization.

5664662350056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26047 (or 26040 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 5664662350056 in words is "five trillion, six hundred sixty-four billion, six hundred sixty-two million, three hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 821 1642 2463 3284 4663 4926 6568 7389 9326 9852 13989 14778 18652 19704 20551 27978 29556 37304 41102 41967 55956 59112 61653 82204 83934 111912 123306 164408 167868 184959 246612 335736 369918 493224 739836 1479672 3828323 7656646 11484969 15313292 16872371 22969938 30626584 33744742 34454907 45939876 50617113 67489484 68909814 91879752 95829313 101234226 134978968 137819628 151851339 191658626 202468452 275639256 287487939 303702678 383317252 404936904 574975878 607405356 766634504 862463817 1149951756 1214810712 1724927634 2299903512 3449855268 6899710536 78675865973 157351731946 236027597919 314703463892 472055195838 629406927784 708082793757 944110391676 1416165587514 1888220783352 2832331175028 5664662350056