Search a number
-
+
37873429553 is a prime number
BaseRepresentation
bin100011010001011011…
…101010110000110001
310121202110112120021002
4203101123222300301
51110031044221203
625222051011345
72510352560651
oct432133526061
9117673476232
1037873429553
1115075622203
12740b899b55
13375762075b
141b93da6361
15eb9e71d88
hex8d16eac31

37873429553 has 2 divisors, whose sum is σ = 37873429554. Its totient is φ = 37873429552.

The previous prime is 37873429507. The next prime is 37873429577. The reversal of 37873429553 is 35592437873.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34660013584 + 3213415969 = 186172^2 + 56687^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37873429553 is a prime.

It is a super-2 number, since 2×378734295532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37873422553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18936714776 + 18936714777.

It is an arithmetic number, because the mean of its divisors is an integer number (18936714777).

Almost surely, 237873429553 is an apocalyptic number.

It is an amenable number.

37873429553 is a deficient number, since it is larger than the sum of its proper divisors (1).

37873429553 is an equidigital number, since it uses as much as digits as its factorization.

37873429553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19051200, while the sum is 56.

The spelling of 37873429553 in words is "thirty-seven billion, eight hundred seventy-three million, four hundred twenty-nine thousand, five hundred fifty-three".