Search a number
-
+
66566552472 = 23327449294157
BaseRepresentation
bin111101111111101011…
…001111101110011000
320100211010201020022100
4331333223033232120
52042312014134342
650325200123400
74544403234360
oct757753175630
9210733636270
1066566552472
112625a0a1132
1210a99006560
13637b0105b4
143316a1d9a0
151ae8e9ce4c
hexf7facfb98

66566552472 has 96 divisors (see below), whose sum is σ = 206498916000. Its totient is φ = 18976591872.

The previous prime is 66566552449. The next prime is 66566552473. The reversal of 66566552472 is 27425566566.

66566552472 is a `hidden beast` number, since 6 + 6 + 56 + 65 + 524 + 7 + 2 = 666.

It is a super-2 number, since 2×665665524722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66566552473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79218 + ... + 373374.

It is an arithmetic number, because the mean of its divisors is an integer number (2151030375).

Almost surely, 266566552472 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 66566552472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103249458000).

66566552472 is an abundant number, since it is smaller than the sum of its proper divisors (139932363528).

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

66566552472 is a wasteful number, since it uses less digits than its factorization.

66566552472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294625 (or 294618 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 66566552472 in words is "sixty-six billion, five hundred sixty-six million, five hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 449 504 898 1347 1796 2694 3143 3592 4041 5388 6286 8082 9429 10776 12572 16164 18858 25144 28287 32328 37716 56574 75432 113148 226296 294157 588314 882471 1176628 1764942 2059099 2353256 2647413 3529884 4118198 5294826 6177297 7059768 8236396 10589652 12354594 16472792 18531891 21179304 24709188 37063782 49418376 74127564 132076493 148255128 264152986 396229479 528305972 792458958 924535451 1056611944 1188688437 1584917916 1849070902 2377376874 2773606353 3169835832 3698141804 4754753748 5547212706 7396283608 8320819059 9509507496 11094425412 16641638118 22188850824 33283276236 66566552472