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37830206801 is a prime number
BaseRepresentation
bin100011001110110110…
…110010010101010001
310121122110012121210102
4203032312302111101
51104434013104201
625213504342145
72506316311052
oct431666622521
9117573177712
1037830206801
1115053190322
1273b9314955
13374b69906a
141b8c354729
15eb628526b
hex8cedb2551

37830206801 has 2 divisors, whose sum is σ = 37830206802. Its totient is φ = 37830206800.

The previous prime is 37830206797. The next prime is 37830206819. The reversal of 37830206801 is 10860203873.

It is a happy number.

37830206801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31955137600 + 5875069201 = 178760^2 + 76649^2 .

It is a cyclic number.

It is not a de Polignac number, because 37830206801 - 22 = 37830206797 is a prime.

It is a super-2 number, since 2×378302068012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37830209801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18915103400 + 18915103401.

It is an arithmetic number, because the mean of its divisors is an integer number (18915103401).

Almost surely, 237830206801 is an apocalyptic number.

It is an amenable number.

37830206801 is a deficient number, since it is larger than the sum of its proper divisors (1).

37830206801 is an equidigital number, since it uses as much as digits as its factorization.

37830206801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 37830206801 in words is "thirty-seven billion, eight hundred thirty million, two hundred six thousand, eight hundred one".