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209981315664 = 24324135565941
BaseRepresentation
bin1100001110001111011…
…1001001101001010000
3202001222221220001112100
43003203313021221100
511420020204100124
6240244124200400
721112350506451
oct3034367115120
9661887801470
10209981315664
1181063a8440a
1234842399100
1316a55197013
14a23d97d128
1556de8911c9
hex30e3dc9a50

209981315664 has 60 divisors (see below), whose sum is σ = 601989134292. Its totient is φ = 68286604800.

The previous prime is 209981315657. The next prime is 209981315681. The reversal of 209981315664 is 466513189902.

It can be written as a sum of positive squares in 2 ways, for example, as 67595840064 + 142385475600 = 259992^2 + 377340^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 209981315664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17777067 + ... + 17788874.

Almost surely, 2209981315664 is an apocalyptic number.

209981315664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

209981315664 is an abundant number, since it is smaller than the sum of its proper divisors (392007818628).

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

209981315664 is a wasteful number, since it uses less digits than its factorization.

209981315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35565996 (or 35565987 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 209981315664 in words is "two hundred nine billion, nine hundred eighty-one million, three hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 35565941 71131882 106697823 142263764 213395646 284527528 320093469 426791292 569055056 640186938 853582584 1280373876 1458203581 1707165168 2560747752 2916407162 4374610743 5121495504 5832814324 8749221486 11665628648 13123832229 17498442972 23331257296 26247664458 34996885944 52495328916 69993771888 104990657832 209981315664