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201561745041 = 32113369753609
BaseRepresentation
bin1011101110111000000…
…1000010011010010001
3201021021011222112221100
42323232001002122101
511300244301320131
6232332435415013
720363613364356
oct2735601023221
9637234875840
10201561745041
1178533394388
1233092754469
1316012a4c777
149a8169862d
15539a6187e6
hex2eee042691

201561745041 has 24 divisors (see below), whose sum is σ = 293806173960. Its totient is φ = 133146832896.

The previous prime is 201561745037. The next prime is 201561745051. The reversal of 201561745041 is 140547165102.

201561745041 is a `hidden beast` number, since 2 + 0 + 1 + 561 + 7 + 4 + 50 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48918380625 + 152643364416 = 221175^2 + 390696^2 .

It is not a de Polignac number, because 201561745041 - 22 = 201561745037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201561744987 and 201561745005.

It is not an unprimeable number, because it can be changed into a prime (201561745031) 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 23 ways as a sum of consecutive naturals, for example, 3733045 + ... + 3786653.

It is an arithmetic number, because the mean of its divisors is an integer number (12241923915).

Almost surely, 2201561745041 is an apocalyptic number.

It is an amenable number.

201561745041 is a deficient number, since it is larger than the sum of its proper divisors (92244428919).

201561745041 is a wasteful number, since it uses less digits than its factorization.

201561745041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57425 (or 57422 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 201561745041 in words is "two hundred one billion, five hundred sixty-one million, seven hundred forty-five thousand, forty-one".

Divisors: 1 3 9 113 339 1017 3697 11091 33273 53609 160827 417761 482481 1253283 3759849 6057817 18173451 54520353 198192473 594577419 1783732257 22395749449 67187248347 201561745041