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382445854561 = 67107357114939
BaseRepresentation
bin1011001000010111000…
…11001001111101100001
31100120011022100101110001
411210023203021331201
522231222114321221
6451405421540001
736426236061301
oct5441343117541
91316138311401
10382445854561
11138215795091
1262154414601
132a0ab8b5934
1414720a75601
159e35760391
hex590b8c9f61

382445854561 has 16 divisors (see below), whose sum is σ = 391917553920. Its totient is φ = 373087305360.

The previous prime is 382445854471. The next prime is 382445854589. The reversal of 382445854561 is 165458544283.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 382445854561 - 213 = 382445846369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382445854261) 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 in 15 ways as a sum of consecutive naturals, for example, 25593030 + ... + 25607968.

It is an arithmetic number, because the mean of its divisors is an integer number (24494847120).

Almost surely, 2382445854561 is an apocalyptic number.

382445854561 is the 330561-st centered heptagonal number.

It is an amenable number.

382445854561 is a deficient number, since it is larger than the sum of its proper divisors (9471699359).

382445854561 is a wasteful number, since it uses less digits than its factorization.

382445854561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18684.

The product of its digits is 18432000, while the sum is 55.

The spelling of 382445854561 in words is "three hundred eighty-two billion, four hundred forty-five million, eight hundred fifty-four thousand, five hundred sixty-one".

Divisors: 1 67 107 3571 7169 14939 239257 382097 1000913 1598473 25600499 53347169 107097691 3574260323 5708147083 382445854561