Search a number
-
+
82433157601 = 731517478287
BaseRepresentation
bin100110011000101100…
…1100010100111100001
321212202220112021202011
41030301121202213201
52322310342020401
6101511432352521
75645525164354
oct1146131424741
9255686467664
1082433157601
1131a61406433
1213b86845741
137a0925ca42
143dbdd8a29b
152226de4451
hex13316629e1

82433157601 has 8 divisors (see below), whose sum is σ = 84115783424. Its totient is φ = 80765488800.

The previous prime is 82433157581. The next prime is 82433157643. The reversal of 82433157601 is 10675133428.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82433157601 - 215 = 82433124833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82433157671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3728121 + ... + 3750166.

It is an arithmetic number, because the mean of its divisors is an integer number (10514472928).

Almost surely, 282433157601 is an apocalyptic number.

It is an amenable number.

82433157601 is a deficient number, since it is larger than the sum of its proper divisors (1682625823).

82433157601 is a wasteful number, since it uses less digits than its factorization.

82433157601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7478511.

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 82433157601 in words is "eighty-two billion, four hundred thirty-three million, one hundred fifty-seven thousand, six hundred one".

Divisors: 1 73 151 11023 7478287 545914951 1129221337 82433157601