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201132412544 = 277733075043
BaseRepresentation
bin1011101101010001101…
…1010000111010000000
3201020011021010012110202
42323110123100322000
511243404344200134
6232222101344332
720350151204210
oct2732433207200
9636137105422
10201132412544
1178333004538
1232b92a080a8
1315c74b0ac7b
149a4065a240
155372aadd7e
hex2ed46d0e80

201132412544 has 64 divisors (see below), whose sum is σ = 464208642240. Its totient is φ = 85018761216.

The previous prime is 201132412541. The next prime is 201132412549. The reversal of 201132412544 is 445214231102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (201132412541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472114 + ... + 1602929.

It is an arithmetic number, because the mean of its divisors is an integer number (7253260035).

Almost surely, 2201132412544 is an apocalyptic number.

It is an amenable number.

201132412544 is an abundant number, since it is smaller than the sum of its proper divisors (263076229696).

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

201132412544 is an equidigital number, since it uses as much as digits as its factorization.

201132412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075137 (or 3075125 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 201132412544 its reverse (445214231102), we get a palindrome (646346643646).

The spelling of 201132412544 in words is "two hundred one billion, one hundred thirty-two million, four hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 2044 2336 4088 4672 8176 9344 16352 32704 65408 3075043 6150086 12300172 21525301 24600344 43050602 49200688 86101204 98401376 172202408 196802752 224478139 344404816 393605504 448956278 688809632 897912556 1377619264 1571346973 1795825112 2755238528 3142693946 3591650224 6285387892 7183300448 12570775784 14366600896 25141551568 28733201792 50283103136 100566206272 201132412544