Search a number
-
+
42177878357 is a prime number
BaseRepresentation
bin100111010001111111…
…110101100101010101
311000212110010012221212
4213101333311211111
51142340014101412
631213134151205
73022131023246
oct472177654525
9130773105855
1042177878357
111698434930a
128211352505
133c92339b94
14208192accd
15116ccd4222
hex9d1ff5955

42177878357 has 2 divisors, whose sum is σ = 42177878358. Its totient is φ = 42177878356.

The previous prime is 42177878293. The next prime is 42177878359. The reversal of 42177878357 is 75387877124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41959015921 + 218862436 = 204839^2 + 14794^2 .

It is a cyclic number.

It is not a de Polignac number, because 42177878357 - 26 = 42177878293 is a prime.

Together with 42177878359, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42177878296 and 42177878305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42177878359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21088939178 + 21088939179.

It is an arithmetic number, because the mean of its divisors is an integer number (21088939179).

Almost surely, 242177878357 is an apocalyptic number.

It is an amenable number.

42177878357 is a deficient number, since it is larger than the sum of its proper divisors (1).

42177878357 is an equidigital number, since it uses as much as digits as its factorization.

42177878357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18439680, while the sum is 59.

The spelling of 42177878357 in words is "forty-two billion, one hundred seventy-seven million, eight hundred seventy-eight thousand, three hundred fifty-seven".