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1084840404849 = 32313738424553
BaseRepresentation
bin11111100100101011000…
…01101110011101110001
310211201011101121112122200
433302111201232131301
5120233223120423344
62150211354453413
7141243233203065
oct17622541563561
93751141545580
101084840404849
11389095143863
121562baa34269
137b3b9180b26
143a713dbbaa5
151d344b64069
hexfc9586e771

1084840404849 has 12 divisors (see below), whose sum is σ = 1567491255876. Its totient is φ = 722996370432.

The previous prime is 1084840404833. The next prime is 1084840404883. The reversal of 1084840404849 is 9484040484801.

1084840404849 is a `hidden beast` number, since 1 + 0 + 84 + 8 + 40 + 40 + 484 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 821548270449 + 263292134400 = 906393^2 + 513120^2 .

It is not a de Polignac number, because 1084840404849 - 24 = 1084840404833 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1084840404795 and 1084840404804.

It is not an unprimeable number, because it can be changed into a prime (1084840404149) 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, 19184044 + ... + 19240509.

It is an arithmetic number, because the mean of its divisors is an integer number (130624271323).

Almost surely, 21084840404849 is an apocalyptic number.

It is an amenable number.

1084840404849 is a deficient number, since it is larger than the sum of its proper divisors (482650851027).

1084840404849 is a wasteful number, since it uses less digits than its factorization.

1084840404849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38427696 (or 38427693 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 1084840404849 in words is "one trillion, eighty-four billion, eight hundred forty million, four hundred four thousand, eight hundred forty-nine".

Divisors: 1 3 9 3137 9411 28233 38424553 115273659 345820977 120537822761 361613468283 1084840404849