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84440022004448 = 2511239886426149
BaseRepresentation
bin10011001100110000111001…
…100001000011001011100000
3102001222101110022120120110222
4103030300321201003023200
542031431131113120243
6455331113253142212
723533406314343255
oct2314607141031340
9361871408516428
1084440022004448
11249a58a3090440
12957906062a968
133816876a84106
1416bccc155142c
159b672abbe168
hex4ccc398432e0

84440022004448 has 24 divisors (see below), whose sum is σ = 181354138169400. Its totient is φ = 38381828183680.

The previous prime is 84440022004447. The next prime is 84440022004451.

84440022004448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×844400220044482 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 84440022004399 and 84440022004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84440022004447) 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 3 ways as a sum of consecutive naturals, for example, 119943212723 + ... + 119943213426.

It is an arithmetic number, because the mean of its divisors is an integer number (7556422423725).

Almost surely, 284440022004448 is an apocalyptic number.

84440022004448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84440022004448 is an abundant number, since it is smaller than the sum of its proper divisors (96914116164952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84440022004448 is a wasteful number, since it uses less digits than its factorization.

84440022004448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239886426170 (or 239886426162 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 84440022004448 in words is "eighty-four trillion, four hundred forty billion, twenty-two million, four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 239886426149 479772852298 959545704596 1919091409192 2638750687639 3838182818384 5277501375278 7676365636768 10555002750556 21110005501112 42220011002224 84440022004448