Search a number
-
+
3978152053201 is a prime number
BaseRepresentation
bin111001111000111100010…
…101110000100111010001
3112002022022020221000020101
4321320330111300213101
51010134223411200301
612243312100412401
7560261213345164
oct71707425604721
915068266830211
103978152053201
1112a414113a897
12542bab0a7101
1322b1a4614071
14da78785dadb
156d732db4701
hex39e3c5709d1

3978152053201 has 2 divisors, whose sum is σ = 3978152053202. Its totient is φ = 3978152053200.

The previous prime is 3978152053199. The next prime is 3978152053229. The reversal of 3978152053201 is 1023502518793.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3026639596176 + 951512457025 = 1739724^2 + 975455^2 .

It is an emirp because it is prime and its reverse (1023502518793) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3978152053201 - 21 = 3978152053199 is a prime.

Together with 3978152053199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3978152053801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1989076026600 + 1989076026601.

It is an arithmetic number, because the mean of its divisors is an integer number (1989076026601).

Almost surely, 23978152053201 is an apocalyptic number.

It is an amenable number.

3978152053201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3978152053201 is an equidigital number, since it uses as much as digits as its factorization.

3978152053201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 3978152053201 in words is "three trillion, nine hundred seventy-eight billion, one hundred fifty-two million, fifty-three thousand, two hundred one".