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6704444076 = 223111371732143
BaseRepresentation
bin1100011111001110…
…11011001010101100
3122022020121001021120
412033213123022230
5102212314202301
63025135300540
7325066556121
oct61747331254
918266531246
106704444076
112930536080
12137137a750
1382b002b95
144785c2748
152938d6e36
hex18f9db2ac

6704444076 has 96 divisors (see below), whose sum is σ = 17297860608. Its totient is φ = 2004226560.

The previous prime is 6704444069. The next prime is 6704444077.

6704444076 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×67044440762 = 89899140736422987552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6704444077) 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 31 ways as a sum of consecutive naturals, for example, 3127461 + ... + 3129603.

It is an arithmetic number, because the mean of its divisors is an integer number (180186048).

Almost surely, 26704444076 is an apocalyptic number.

6704444076 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6704444076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648930304).

6704444076 is an abundant number, since it is smaller than the sum of its proper divisors (10593416532).

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

6704444076 is a wasteful number, since it uses less digits than its factorization.

6704444076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 6704444076 is about 81880.6697334603. The cubic root of 6704444076 is about 1885.6203542317.

The spelling of 6704444076 in words is "six billion, seven hundred four million, four hundred forty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 173 274 346 411 519 548 692 822 1038 1507 1644 1903 2076 2143 3014 3806 4286 4521 5709 6028 6429 7612 8572 9042 11418 12858 18084 22836 23573 23701 25716 47146 47402 70719 71103 94292 94804 141438 142206 260711 282876 284412 293591 370739 521422 587182 741478 782133 880773 1042844 1112217 1174364 1482956 1564266 1761546 2224434 3128532 3229501 3523092 4078129 4448868 6459002 8156258 9688503 12234387 12918004 16312516 19377006 24468774 38754012 48937548 50791243 101582486 152373729 203164972 304747458 558703673 609494916 1117407346 1676111019 2234814692 3352222038 6704444076