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81433333333417 = 1326166531187321
BaseRepresentation
bin10010100001000000101100…
…111001111111110110101001
3101200022221200000101121022011
4102201000230321333312221
541133200431313132132
6445105542404155521
723103235625332432
oct2241005471776651
9350287600347264
1081433333333417
1123a4675678216a
1291723aa698ba1
1336591905b4800
1416175741c0489
1596340415bb47
hex4a102ce7fda9

81433333333417 has 24 divisors (see below), whose sum is σ = 89638398911448. Its totient is φ = 73925772710400.

The previous prime is 81433333333399. The next prime is 81433333333421. The reversal of 81433333333417 is 71433333333418.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 72058095599616 + 9375237733801 = 8488704^2 + 3061901^2 .

It is a de Polignac number, because none of the positive numbers 2k-81433333333417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81433333333117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67992117 + ... + 69179437.

It is an arithmetic number, because the mean of its divisors is an integer number (3734933287977).

Almost surely, 281433333333417 is an apocalyptic number.

It is an amenable number.

81433333333417 is a deficient number, since it is larger than the sum of its proper divisors (8205065578031).

81433333333417 is a wasteful number, since it uses less digits than its factorization.

81433333333417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194061 (or 1194048 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 49.

Subtracting from 81433333333417 its reverse (71433333333418), we obtain a palindrome (9999999999999).

The spelling of 81433333333417 in words is "eighty-one trillion, four hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, four hundred seventeen".

Divisors: 1 13 61 169 793 6653 10309 86489 405833 1124357 1187321 5275829 15435173 68585777 72426581 200657249 941545553 7899246613 12240092189 102690205969 481854043393 1334972677597 6264102564109 81433333333417