Search a number
-
+
29384380381 is a prime number
BaseRepresentation
bin11011010111011100…
…100000111111011101
32210211211220012000111
4123113130200333131
5440134400133011
621255441130021
72060113053316
oct332734407735
983754805014
1029384380381
1111509797994
125840929911
132a0398ab35
1415ca79760d
15b6ea73121
hex6d7720fdd

29384380381 has 2 divisors, whose sum is σ = 29384380382. Its totient is φ = 29384380380.

The previous prime is 29384380349. The next prime is 29384380387. The reversal of 29384380381 is 18308348392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25101332356 + 4283048025 = 158434^2 + 65445^2 .

It is a cyclic number.

It is not a de Polignac number, because 29384380381 - 25 = 29384380349 is a prime.

It is a super-2 number, since 2×293843803812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29384380387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14692190190 + 14692190191.

It is an arithmetic number, because the mean of its divisors is an integer number (14692190191).

Almost surely, 229384380381 is an apocalyptic number.

It is an amenable number.

29384380381 is a deficient number, since it is larger than the sum of its proper divisors (1).

29384380381 is an equidigital number, since it uses as much as digits as its factorization.

29384380381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 29384380381 in words is "twenty-nine billion, three hundred eighty-four million, three hundred eighty thousand, three hundred eighty-one".