Search a number
-
+
38276880035257 is a prime number
BaseRepresentation
bin10001011010000000001111…
…10101100110110110111001
312000112020022120201021211001
420231000013311212312321
520004112022242112012
6213224053403205001
711030261525025103
oct1055000765466671
9160466276637731
1038276880035257
11112181519a3906
124362395816761
131848656c8bca6
1496487a372573
15465a097e3357
hex22d007d66db9

38276880035257 has 2 divisors, whose sum is σ = 38276880035258. Its totient is φ = 38276880035256.

The previous prime is 38276880035249. The next prime is 38276880035291. The reversal of 38276880035257 is 75253008867283.

38276880035257 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., 35351836039081 + 2925043996176 = 5945741^2 + 1710276^2 .

It is a cyclic number.

It is not a de Polignac number, because 38276880035257 - 23 = 38276880035249 is a prime.

It is not a weakly prime, because it can be changed into another prime (38276880065257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19138440017628 + 19138440017629.

It is an arithmetic number, because the mean of its divisors is an integer number (19138440017629).

Almost surely, 238276880035257 is an apocalyptic number.

It is an amenable number.

38276880035257 is a deficient number, since it is larger than the sum of its proper divisors (1).

38276880035257 is an equidigital number, since it uses as much as digits as its factorization.

38276880035257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 38276880035257 in words is "thirty-eight trillion, two hundred seventy-six billion, eight hundred eighty million, thirty-five thousand, two hundred fifty-seven".