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37830226561 is a prime number
BaseRepresentation
bin100011001110110110…
…110111001010000001
310121122110020121220021
4203032312313022001
51104434014222221
625213505013441
72506316422501
oct431666671201
9117573217807
1037830226561
11150531a4156
1273b9324281
13374b6a505a
141b8c35ba01
15eb628b041
hex8cedb7281

37830226561 has 2 divisors, whose sum is σ = 37830226562. Its totient is φ = 37830226560.

The previous prime is 37830226547. The next prime is 37830226571. The reversal of 37830226561 is 16562203873.

37830226561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20909160000 + 16921066561 = 144600^2 + 130081^2 .

It is an emirp because it is prime and its reverse (16562203873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37830226561 - 25 = 37830226529 is a prime.

It is a super-2 number, since 2×378302265612 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37830226571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18915113280 + 18915113281.

It is an arithmetic number, because the mean of its divisors is an integer number (18915113281).

Almost surely, 237830226561 is an apocalyptic number.

It is an amenable number.

37830226561 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830226561 is an equidigital number, since it uses as much as digits as its factorization.

37830226561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 37830226561 in words is "thirty-seven billion, eight hundred thirty million, two hundred twenty-six thousand, five hundred sixty-one".