Search a number
-
+
32976801401 is a prime number
BaseRepresentation
bin11110101101100100…
…100000111001111001
310011010012200002012212
4132231210200321321
51020014030121101
623052131144505
72245124121065
oct365544407171
9104105602185
1032976801401
1112a925a9a85
126483a45135
13315701634b
14184b932aa5
15cd01391bb
hex7ad920e79

32976801401 has 2 divisors, whose sum is σ = 32976801402. Its totient is φ = 32976801400.

The previous prime is 32976801367. The next prime is 32976801421. The reversal of 32976801401 is 10410867923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25983828025 + 6992973376 = 161195^2 + 83624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32976801401 is a prime.

It is not a weakly prime, because it can be changed into another prime (32976801421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16488400700 + 16488400701.

It is an arithmetic number, because the mean of its divisors is an integer number (16488400701).

Almost surely, 232976801401 is an apocalyptic number.

It is an amenable number.

32976801401 is a deficient number, since it is larger than the sum of its proper divisors (1).

32976801401 is an equidigital number, since it uses as much as digits as its factorization.

32976801401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 32976801401 in words is "thirty-two billion, nine hundred seventy-six million, eight hundred one thousand, four hundred one".