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6444735104 = 27313160861
BaseRepresentation
bin1100000000010001…
…01101101010000000
3121122010220110112202
412000020231222000
5101144323010404
62543301012332
7315464226113
oct60010555200
917563813482
106444735104
112807980965
1212ba3b40a8
137b9271232
14451cda57a
1527abd621e
hex18022da80

6444735104 has 32 divisors (see below), whose sum is σ = 12880220340. Its totient is φ = 3212052480.

The previous prime is 6444735103. The next prime is 6444735109. The reversal of 6444735104 is 4015374446.

It can be written as a sum of positive squares in 2 ways, for example, as 6304360000 + 140375104 = 79400^2 + 11848^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×64447351042 = 83069221121459781632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6444735103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40367 + ... + 120494.

Almost surely, 26444735104 is an apocalyptic number.

6444735104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6444735104 is a deficient number, since it is larger than the sum of its proper divisors (6435485236).

6444735104 is a wasteful number, since it uses less digits than its factorization.

6444735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161188 (or 161176 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 6444735104 is about 80279.1075187063. The cubic root of 6444735104 is about 1860.9513674684.

The spelling of 6444735104 in words is "six billion, four hundred forty-four million, seven hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 313 626 1252 2504 5008 10016 20032 40064 160861 321722 643444 1286888 2573776 5147552 10295104 20590208 50349493 100698986 201397972 402795944 805591888 1611183776 3222367552 6444735104