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37834683401 is a prime number
BaseRepresentation
bin100011001111000111…
…110111010000001001
310121122202122001112102
4203033013313100021
51104441134332101
625214144323145
72506402334264
oct431707672011
9117582561472
1037834683401
1115055768699
1273ba9134b5
13374c5a5838
141b8cb9bcdb
15eb686b86b
hex8cf1f7409

37834683401 has 2 divisors, whose sum is σ = 37834683402. Its totient is φ = 37834683400.

The previous prime is 37834683349. The next prime is 37834683431. The reversal of 37834683401 is 10438643873.

37834683401 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., 27763557376 + 10071126025 = 166624^2 + 100355^2 .

It is a cyclic number.

It is not a de Polignac number, because 37834683401 - 222 = 37830489097 is a prime.

It is not a weakly prime, because it can be changed into another prime (37834683431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18917341700 + 18917341701.

It is an arithmetic number, because the mean of its divisors is an integer number (18917341701).

Almost surely, 237834683401 is an apocalyptic number.

It is an amenable number.

37834683401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37834683401 is an equidigital number, since it uses as much as digits as its factorization.

37834683401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 37834683401 in words is "thirty-seven billion, eight hundred thirty-four million, six hundred eighty-three thousand, four hundred one".