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6075441344 = 26719968147
BaseRepresentation
bin1011010100001111…
…11110000011000000
3120200102000101202002
411222013332003000
544420303110334
62442505443132
7303361253660
oct55207760300
916612011662
106075441344
112638479005
1212167a04a8
1375a8c120b
14418c4a1a0
1525858ab7e
hex16a1fe0c0

6075441344 has 56 divisors (see below), whose sum is σ = 13847673600. Its totient is φ = 2590638336.

The previous prime is 6075441341. The next prime is 6075441353. The reversal of 6075441344 is 4431445706.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 6075441298 and 6075441307.

It is not an unprimeable number, because it can be changed into a prime (6075441341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55079 + ... + 123225.

Almost surely, 26075441344 is an apocalyptic number.

6075441344 is a gapful number since it is divisible by the number (64) 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 6075441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6923836800).

6075441344 is an abundant number, since it is smaller than the sum of its proper divisors (7772232256).

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

6075441344 is a wasteful number, since it uses less digits than its factorization.

6075441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68365 (or 68355 counting only the distinct ones).

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

The square root of 6075441344 is about 77945.1175122599. The cubic root of 6075441344 is about 1824.7047843240.

The spelling of 6075441344 in words is "six billion, seventy-five million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 796 1393 1592 2786 3184 5572 6368 11144 12736 22288 44576 68147 89152 136294 272588 477029 545176 954058 1090352 1908116 2180704 3816232 4361408 7632464 13561253 15264928 27122506 30529856 54245012 94928771 108490024 189857542 216980048 379715084 433960096 759430168 867920192 1518860336 3037720672 6075441344