Search a number
-
+
29993239861157 is a prime number
BaseRepresentation
bin1101101000111010110000…
…11010000101011110100101
310221012022210110022010100102
412310131120122011132211
512412402123401024112
6143442412033553445
76213640305223466
oct664353032053645
9127168713263312
1029993239861157
119614074a85751
123444a83415885
131397472a38bb1
1475997562ad6d
153702d658ebc2
hex1b47586857a5

29993239861157 has 2 divisors, whose sum is σ = 29993239861158. Its totient is φ = 29993239861156.

The previous prime is 29993239861111. The next prime is 29993239861177. The reversal of 29993239861157 is 75116893239992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22245428848036 + 7747811013121 = 4716506^2 + 2783489^2 .

It is a cyclic number.

It is not a de Polignac number, because 29993239861157 - 26 = 29993239861093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29993239861177) 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, 14996619930578 + 14996619930579.

It is an arithmetic number, because the mean of its divisors is an integer number (14996619930579).

Almost surely, 229993239861157 is an apocalyptic number.

It is an amenable number.

29993239861157 is a deficient number, since it is larger than the sum of its proper divisors (1).

29993239861157 is an equidigital number, since it uses as much as digits as its factorization.

29993239861157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396809280, while the sum is 74.

The spelling of 29993239861157 in words is "twenty-nine trillion, nine hundred ninety-three billion, two hundred thirty-nine million, eight hundred sixty-one thousand, one hundred fifty-seven".