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382117412223 = 3314152496749
BaseRepresentation
bin1011000111101111111…
…10001111110101111111
31100112022102022210021000
411203313332033311333
522230034024142343
6451313050141343
736415140261411
oct5436776176577
91315272283230
10382117412223
11138067354538
1262082421853
132a058839b61
14146cd1ba9b1
159e169d3ed3
hex58f7f8fd7f

382117412223 has 8 divisors (see below), whose sum is σ = 566099870000. Its totient is φ = 254744941464.

The previous prime is 382117412197. The next prime is 382117412249. The reversal of 382117412223 is 322214711283.

382117412223 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 17 + 412 + 223 = 666.

It is an interprime number because it is at equal distance from previous prime (382117412197) and next prime (382117412249).

It is not a de Polignac number, because 382117412223 - 25 = 382117412191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382117412293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7076248348 + ... + 7076248401.

It is an arithmetic number, because the mean of its divisors is an integer number (70762483750).

Almost surely, 2382117412223 is an apocalyptic number.

382117412223 is a deficient number, since it is larger than the sum of its proper divisors (183982457777).

382117412223 is a wasteful number, since it uses less digits than its factorization.

382117412223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14152496758 (or 14152496752 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 382117412223 in words is "three hundred eighty-two billion, one hundred seventeen million, four hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 9 27 14152496749 42457490247 127372470741 382117412223