Search a number
-
+
6664865424 = 243771491569
BaseRepresentation
bin1100011010100000…
…11100011010010000
3122012111010020120120
412031100130122100
5102122201143144
63021203110240
7324106264350
oct61520343220
918174106516
106664865424
112910163048
121360072380
13822a56069
1447323cb60
152901b9e19
hex18d41c690

6664865424 has 160 divisors (see below), whose sum is σ = 20030146560. Its totient is φ = 1870310400.

The previous prime is 6664865423. The next prime is 6664865483. The reversal of 6664865424 is 4245684666.

It is a super-2 number, since 2×66648654242 = 88840862240061399552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6664865423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11713012 + ... + 11713580.

It is an arithmetic number, because the mean of its divisors is an integer number (125188416).

Almost surely, 26664865424 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 6664865424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015073280).

6664865424 is an abundant number, since it is smaller than the sum of its proper divisors (13365281136).

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

6664865424 is a wasteful number, since it uses less digits than its factorization.

6664865424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The square root of 6664865424 is about 81638.6270340211. The cubic root of 6664865424 is about 1881.9025390693.

The spelling of 6664865424 in words is "six billion, six hundred sixty-four million, eight hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 491 497 568 569 852 982 994 1136 1138 1473 1491 1704 1707 1964 1988 2276 2946 2982 3408 3414 3437 3928 3976 3983 4552 5892 5964 6828 6874 7856 7952 7966 9104 10311 11784 11928 11949 13656 13748 15932 20622 23568 23856 23898 27312 27496 31864 34861 40399 41244 47796 54992 63728 69722 80798 82488 95592 104583 121197 139444 161596 164976 191184 209166 242394 244027 278888 279379 282793 323192 418332 484788 488054 557776 558758 565586 646384 732081 836664 838137 848379 969576 976108 1117516 1131172 1464162 1673328 1676274 1696758 1939152 1952216 1955653 2235032 2262344 2928324 3352548 3393516 3904432 3911306 4470064 4524688 5856648 5866959 6705096 6787032 7822612 11713296 11733918 13410192 13574064 15645224 19835909 23467836 31290448 39671818 46935672 59507727 79343636 93871344 119015454 138851363 158687272 238030908 277702726 317374544 416554089 476061816 555405452 833108178 952123632 1110810904 1666216356 2221621808 3332432712 6664865424