Search a number
-
+
153641463332389 is a prime number
BaseRepresentation
bin100010111011110001110000…
…110110000011111000100101
3202010222222110202011122112021
4202323301300312003320211
5130114230204103114024
61302433525221023141
744235141455315464
oct4273616066037045
9663888422148467
10153641463332389
1144a55a8469888a
12152948b3254ab1
136796435300006
1429d24022409db
1512b6878bccde4
hex8bbc70d83e25

153641463332389 has 2 divisors, whose sum is σ = 153641463332390. Its totient is φ = 153641463332388.

The previous prime is 153641463332257. The next prime is 153641463332419. The reversal of 153641463332389 is 983233364146351.

153641463332389 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., 143754105062500 + 9887358269889 = 11989750^2 + 3144417^2 .

It is a cyclic number.

It is not a de Polignac number, because 153641463332389 - 227 = 153641329114661 is a prime.

It is a super-3 number, since 3×1536414633323893 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153641463362389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76820731666194 + 76820731666195.

It is an arithmetic number, because the mean of its divisors is an integer number (76820731666195).

Almost surely, 2153641463332389 is an apocalyptic number.

It is an amenable number.

153641463332389 is a deficient number, since it is larger than the sum of its proper divisors (1).

153641463332389 is an equidigital number, since it uses as much as digits as its factorization.

153641463332389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 100776960, while the sum is 61.

The spelling of 153641463332389 in words is "one hundred fifty-three trillion, six hundred forty-one billion, four hundred sixty-three million, three hundred thirty-two thousand, three hundred eighty-nine".