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37683968401 is a prime number
BaseRepresentation
bin100011000110001000…
…111011100110010001
310121021021000221102101
4203012020323212101
51104134043442101
625151202120401
72502562306042
oct430610734621
9117237027371
1037683968401
1114a88688242
127378350101
1337272b6371
141b76b688c9
15ea84ea401
hex8c623b991

37683968401 has 2 divisors, whose sum is σ = 37683968402. Its totient is φ = 37683968400.

The previous prime is 37683968359. The next prime is 37683968467. The reversal of 37683968401 is 10486938673.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27330702400 + 10353266001 = 165320^2 + 101751^2 .

It is a cyclic number.

It is not a de Polignac number, because 37683968401 - 217 = 37683837329 is a prime.

It is not a weakly prime, because it can be changed into another prime (37683908401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18841984200 + 18841984201.

It is an arithmetic number, because the mean of its divisors is an integer number (18841984201).

Almost surely, 237683968401 is an apocalyptic number.

It is an amenable number.

37683968401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37683968401 is an equidigital number, since it uses as much as digits as its factorization.

37683968401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 37683968401 in words is "thirty-seven billion, six hundred eighty-three million, nine hundred sixty-eight thousand, four hundred one".