Search a number
-
+
29996037601 is a prime number
BaseRepresentation
bin11011111011111001…
…110011010111100001
32212102110211120222121
4123323321303113201
5442412441200401
621440251104241
72111221053445
oct337371632741
985373746877
1029996037601
11117a2a88022
125991742081
132aa060869a
141647ad6825
15ba85e4ca1
hex6fbe735e1

29996037601 has 2 divisors, whose sum is σ = 29996037602. Its totient is φ = 29996037600.

The previous prime is 29996037559. The next prime is 29996037607. The reversal of 29996037601 is 10673069992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28057925025 + 1938112576 = 167505^2 + 44024^2 .

It is a cyclic number.

It is not a de Polignac number, because 29996037601 - 213 = 29996029409 is a prime.

It is not a weakly prime, because it can be changed into another prime (29996037607) 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, 14998018800 + 14998018801.

It is an arithmetic number, because the mean of its divisors is an integer number (14998018801).

Almost surely, 229996037601 is an apocalyptic number.

It is an amenable number.

29996037601 is a deficient number, since it is larger than the sum of its proper divisors (1).

29996037601 is an equidigital number, since it uses as much as digits as its factorization.

29996037601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1102248, while the sum is 52.

It can be divided in two parts, 299960 and 37601, that added together give a square (337561 = 5812).

The spelling of 29996037601 in words is "twenty-nine billion, nine hundred ninety-six million, thirty-seven thousand, six hundred one".