Search a number
-
+
5666500656 = 2432175939233
BaseRepresentation
bin1010100011011111…
…11111000000110000
3112121220112001120200
411101233333000300
543101111010111
62334140435200
7260264314035
oct52157770060
915556461520
105666500656
1124486568a3
121121848b00
136c3c6c28b
143ba7d938c
1523270d256
hex151bff030

5666500656 has 120 divisors (see below), whose sum is σ = 17076206160. Its totient is φ = 1747550208.

The previous prime is 5666500643. The next prime is 5666500657. The reversal of 5666500656 is 6560056665.

It is not an unprimeable number, because it can be changed into a prime (5666500657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124816 + ... + 164048.

It is an arithmetic number, because the mean of its divisors is an integer number (142301718).

Almost surely, 25666500656 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 5666500656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538103080).

5666500656 is an abundant number, since it is smaller than the sum of its proper divisors (11409705504).

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

5666500656 is a wasteful number, since it uses less digits than its factorization.

5666500656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39323 (or 39314 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5666500656 is about 75276.1626014504. The cubic root of 5666500656 is about 1782.8096703424.

The spelling of 5666500656 in words is "five billion, six hundred sixty-six million, five hundred thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 306 354 408 472 531 612 708 816 944 1003 1062 1224 1416 2006 2124 2448 2832 3009 4012 4248 6018 8024 8496 9027 12036 16048 18054 24072 36108 39233 48144 72216 78466 117699 144432 156932 235398 313864 353097 470796 627728 666961 706194 941592 1333922 1412388 1883184 2000883 2314747 2667844 2824776 4001766 4629494 5335688 5649552 6002649 6944241 8003532 9258988 10671376 12005298 13888482 16007064 18517976 20832723 24010596 27776964 32014128 37035952 39350699 41665446 48021192 55553928 78701398 83330892 96042384 111107856 118052097 157402796 166661784 236104194 314805592 333323568 354156291 472208388 629611184 708312582 944416776 1416625164 1888833552 2833250328 5666500656