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201643521640 = 235111537729803
BaseRepresentation
bin1011101111001011100…
…0111111011001101000
3201021110212212020100021
42323302320333121220
511300431220143030
6232344520250224
720365625440201
oct2736270773150
9637425766307
10201643521640
1178575569350
12330b6010974
13160269826a2
149a8c4a45a8
1553a28bd97a
hex2ef2e3f668

201643521640 has 64 divisors (see below), whose sum is σ = 494991984960. Its totient is φ = 73317688320.

The previous prime is 201643521631. The next prime is 201643521641. The reversal of 201643521640 is 46125346102.

201643521640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2016435216402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201643521596 and 201643521605.

It is not an unprimeable number, because it can be changed into a prime (201643521641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6750979 + ... + 6780781.

It is an arithmetic number, because the mean of its divisors is an integer number (7734249765).

Almost surely, 2201643521640 is an apocalyptic number.

201643521640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201643521640 is an abundant number, since it is smaller than the sum of its proper divisors (293348463320).

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

201643521640 is a wasteful number, since it uses less digits than its factorization.

201643521640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45202 (or 45198 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 201643521640 its reverse (46125346102), we get a palindrome (247768867742).

The spelling of 201643521640 in words is "two hundred one billion, six hundred forty-three million, five hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 15377 29803 30754 59606 61508 76885 119212 123016 149015 153770 169147 238424 298030 307540 327833 338294 596060 615080 655666 676588 845735 1192120 1311332 1353176 1639165 1691470 2622664 3278330 3382940 6556660 6765880 13113320 458280731 916561462 1833122924 2291403655 3666245848 4582807310 5041088041 9165614620 10082176082 18331229240 20164352164 25205440205 40328704328 50410880410 100821760820 201643521640