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84440088004448 = 2511243839983791
BaseRepresentation
bin10011001100110000111101…
…011100110100011101100000
3102001222101121220202201110102
4103030300331130310131200
542031431300012120243
6455331124011521532
723533411045340141
oct2314607534643540
9361871556681412
1084440088004448
11249a592736a1a0
12957907a7592a8
133816887652077
1416bccca211ac8
159b67318a99b8
hex4ccc3d734760

84440088004448 has 48 divisors (see below), whose sum is σ = 181355208007680. Its totient is φ = 38381661763200.

The previous prime is 84440088004417. The next prime is 84440088004477.

84440088004448 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84440088004393 and 84440088004402.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85339433 + ... + 86323223.

It is an arithmetic number, because the mean of its divisors is an integer number (3778233500160).

Almost surely, 284440088004448 is an apocalyptic number.

84440088004448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84440088004448 is an abundant number, since it is smaller than the sum of its proper divisors (96915120003232).

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

84440088004448 is a wasteful number, since it uses less digits than its factorization.

84440088004448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227651 (or 1227643 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 56.

The spelling of 84440088004448 in words is "eighty-four trillion, four hundred forty billion, eighty-eight million, four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 243839 487678 975356 983791 1950712 1967582 2682229 3901424 3935164 5364458 7802848 7870328 10728916 10821701 15740656 21457832 21643402 31481312 42915664 43286804 85831328 86573608 173147216 346294432 239886613649 479773227298 959546454596 1919092909192 2638752750139 3838185818384 5277505500278 7676371636768 10555011000556 21110022001112 42220044002224 84440088004448