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37675198201 = 1941012
BaseRepresentation
bin100011000101100111…
…011110011011111001
310121020122112100222011
4203011213132123321
51104124322320301
625150250125521
72502424620664
oct430547363371
9117218470864
1037675198201
1114a83738043
1273754208a1
1337255354b4
141b759246db
15ea7866a51
hex8c59de6f9

37675198201 has 3 divisors (see below), whose sum is σ = 37675392303. Its totient is φ = 37675004100.

The previous prime is 37675198151. The next prime is 37675198213. The reversal of 37675198201 is 10289157673.

It is a happy number.

The square root of 37675198201 is 194101.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1931514601 + 35743683600 = 43949^2 + 189060^2 .

It is not a de Polignac number, because 37675198201 - 29 = 37675197689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37675198901) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 97051 + ... + 291151.

It is an arithmetic number, because the mean of its divisors is an integer number (12558464101).

Almost surely, 237675198201 is an apocalyptic number.

37675198201 is the 194101-st square number.

37675198201 is the 97051-st centered octagonal number.

It is an amenable number.

37675198201 is a deficient number, since it is larger than the sum of its proper divisors (194102).

37675198201 is an frugal number, since it uses more digits than its factorization.

37675198201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388202 (or 194101 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 37675198201 by its sum of digits (49), we get a square (1846084711849 = 13587072).

The spelling of 37675198201 in words is "thirty-seven billion, six hundred seventy-five million, one hundred ninety-eight thousand, two hundred one".

Divisors: 1 194101 37675198201