Search a number
-
+
96233444433269 = 1121361178286353
BaseRepresentation
bin10101111000011000011000…
…010001010101110101110101
3110121201211100012111202101122
4111320120120101111311311
5100103142043233331034
6540401011205033325
726161431315110363
oct2570303021256565
9417654305452348
1096233444433269
1128732413644500
12a9628299b5845
134190a0c513c80
1419a9a1b654633
15b1d3bce9562e
hex578618455d75

96233444433269 has 12 divisors (see below), whose sum is σ = 113913969191148. Its totient is φ = 80755337984640.

The previous prime is 96233444433233. The next prime is 96233444433331.

96233444433269 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 59196020271025 + 37037424162244 = 7693895^2 + 6085838^2 .

It is not a de Polignac number, because 96233444433269 - 236 = 96164724956533 is a prime.

It is a super-2 number, since 2×962334444332692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96233444433169) 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 in 11 ways as a sum of consecutive naturals, for example, 30589141604 + ... + 30589144749.

It is an arithmetic number, because the mean of its divisors is an integer number (9492830765929).

Almost surely, 296233444433269 is an apocalyptic number.

It is an amenable number.

96233444433269 is a deficient number, since it is larger than the sum of its proper divisors (17680524757879).

96233444433269 is a wasteful number, since it uses less digits than its factorization.

96233444433269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61178286388 (or 61178286377 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 62.

The spelling of 96233444433269 in words is "ninety-six trillion, two hundred thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, two hundred sixty-nine".

Divisors: 1 11 13 121 143 1573 61178286353 672961149883 795317722589 7402572648713 8748494948479 96233444433269