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484088004444 = 2231133111079557
BaseRepresentation
bin1110000101101011110…
…01001011111101011100
31201021111220222120211210
413002311321023331130
530412403012120234
61010215325544420
746655103100632
oct7026571137534
91637456876753
10484088004444
11177334070750
12799a0115110
13368596983a5
1419603c3d352
15c8d3c22be9
hex70b5e4bf5c

484088004444 has 48 divisors (see below), whose sum is σ = 1235946854016. Its totient is φ = 146250139200.

The previous prime is 484088004409. The next prime is 484088004451. The reversal of 484088004444 is 444400880484.

It is a junction number, because it is equal to n+sod(n) for n = 484088004393 and 484088004402.

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 15 ways as a sum of consecutive naturals, for example, 5496087 + ... + 5583470.

It is an arithmetic number, because the mean of its divisors is an integer number (25748892792).

Almost surely, 2484088004444 is an apocalyptic number.

484088004444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

484088004444 is an abundant number, since it is smaller than the sum of its proper divisors (751858849572).

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

484088004444 is a wasteful number, since it uses less digits than its factorization.

484088004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079906 (or 11079904 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 484088004444 in words is "four hundred eighty-four billion, eighty-eight million, four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1986 3641 3972 7282 10923 14564 21846 43692 11079557 22159114 33238671 44318228 66477342 121875127 132954684 243750254 365625381 487500508 731250762 1462501524 3667333367 7334666734 11002000101 14669333468 22004000202 40340667037 44008000404 80681334074 121022001111 161362668148 242044002222 484088004444