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209912659872 = 2535322393257
BaseRepresentation
bin1100001101111111000…
…1001111111110100000
3202001211011200222111020
43003133301033332200
511414400120103442
6240233232445440
721110555112006
oct3033761177640
9661734628436
10209912659872
1181029251293
12348233a9880
1316a43ba92a6
14a2347caa76
1556d882d9ec
hex30dfc4ffa0

209912659872 has 144 divisors (see below), whose sum is σ = 564136513920. Its totient is φ = 68342450176.

The previous prime is 209912659861. The next prime is 209912659877. The reversal of 209912659872 is 278956219902.

209912659872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (209912659877) 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, 64448068 + ... + 64451324.

It is an arithmetic number, because the mean of its divisors is an integer number (3917614680).

Almost surely, 2209912659872 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 209912659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282068256960).

209912659872 is an abundant number, since it is smaller than the sum of its proper divisors (354223854048).

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

209912659872 is a wasteful number, since it uses less digits than its factorization.

209912659872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 209912659872 in words is "two hundred nine billion, nine hundred twelve million, six hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 239 318 424 478 636 717 848 956 1272 1434 1696 1912 2544 2809 2868 3257 3824 5088 5618 5736 6514 7648 8427 9771 11236 11472 12667 13028 16854 19542 22472 22944 25334 26056 33708 38001 39084 44944 50668 52112 67416 76002 78168 89888 101336 104224 134832 152004 156336 172621 202672 269664 304008 312672 345242 405344 517863 608016 671351 690484 778423 1035726 1216032 1342702 1380968 1556846 2014053 2071452 2335269 2685404 2761936 3113692 4028106 4142904 4670538 5370808 5523872 6227384 8056212 8285808 9148913 9341076 10741616 12454768 16112424 16571616 18297826 18682152 21483232 24909536 27446739 32224848 36595652 37364304 41256419 54893478 64449696 73191304 74728608 82512838 109786956 123769257 146382608 165025676 219573912 247538514 292765216 330051352 439147824 495077028 660102704 878295648 990154056 1320205408 1980308112 2186590207 3960616224 4373180414 6559770621 8746360828 13119541242 17492721656 26239082484 34985443312 52478164968 69970886624 104956329936 209912659872