Search a number
-
+
5666517920 = 255723921169
BaseRepresentation
bin1010100011100000…
…00011001110100000
3112121220112221021002
411101300003032200
543101112033140
62334141051132
7260264415260
oct52160031640
915556487232
105666517920
112448668868
121121856aa8
136c3c770ab
143ba8017a0
15232713415
hex151c033a0

5666517920 has 96 divisors (see below), whose sum is σ = 15364339200. Its totient is φ = 1934585856.

The previous prime is 5666517919. The next prime is 5666517937. The reversal of 5666517920 is 297156665.

It is a happy number.

It is a super-2 number, since 2×56665179202 = 64218850675362252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257096 + ... + 278264.

It is an arithmetic number, because the mean of its divisors is an integer number (160045200).

Almost surely, 25666517920 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 5666517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682169600).

5666517920 is an abundant number, since it is smaller than the sum of its proper divisors (9697821280).

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

5666517920 is a wasteful number, since it uses less digits than its factorization.

5666517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430 (or 21422 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 47.

The square root of 5666517920 is about 75276.2772724582. The cubic root of 5666517920 is about 1782.8114808892.

The spelling of 5666517920 in words is "five billion, six hundred sixty-six million, five hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 239 280 478 560 956 1120 1195 1673 1912 2390 3346 3824 4780 6692 7648 8365 9560 13384 16730 19120 21169 26768 33460 38240 42338 53536 66920 84676 105845 133840 148183 169352 211690 267680 296366 338704 423380 592732 677408 740915 846760 1185464 1481830 1693520 2370928 2963660 3387040 4741856 5059391 5927320 10118782 11854640 20237564 23709280 25296955 35415737 40475128 50593910 70831474 80950256 101187820 141662948 161900512 177078685 202375640 283325896 354157370 404751280 566651792 708314740 809502560 1133303584 1416629480 2833258960 5666517920