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669766900 = 2252112321151
BaseRepresentation
bin100111111010111…
…101010011110100
31201200021200110111
4213322331103310
52332430020100
6150243232404
722411632115
oct4772752364
91650250414
10669766900
1131407a870
12168378704
13a89b529a
1464d4820c
153dbee6ba
hex27ebd4f4

669766900 has 108 divisors (see below), whose sum is σ = 1658893824. Its totient is φ = 232760000.

The previous prime is 669766871. The next prime is 669766931. The reversal of 669766900 is 9667966.

It is a super-2 number, since 2×6697669002 = 897175400671220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581325 + ... + 582475.

It is an arithmetic number, because the mean of its divisors is an integer number (15360128).

Almost surely, 2669766900 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 669766900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829446912).

669766900 is an abundant number, since it is smaller than the sum of its proper divisors (989126924).

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

669766900 is a wasteful number, since it uses less digits than its factorization.

669766900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 669766900 is about 25879.8551000580. The cubic root of 669766900 is about 874.9325226876.

The spelling of 669766900 in words is "six hundred sixty-nine million, seven hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 529 550 575 1012 1058 1100 1150 1151 1265 2116 2300 2302 2530 2645 4604 5060 5290 5755 5819 6325 10580 11510 11638 12650 12661 13225 23020 23276 25300 25322 26450 26473 28775 29095 50644 52900 52946 57550 58190 63305 105892 115100 116380 126610 132365 145475 253220 264730 290950 291203 316525 529460 581900 582406 608879 633050 661825 1164812 1217758 1266100 1323650 1456015 2435516 2647300 2912030 3044395 5824060 6088790 6697669 7280075 12177580 13395338 14560150 15221975 26790676 29120300 30443950 33488345 60887900 66976690 133953380 167441725 334883450 669766900