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675444444576 = 2531129101321773
BaseRepresentation
bin10011101010000111010…
…00000100110110100000
32101120102212212221021020
421311003220010312200
542031302234211301
61234143410325440
766541100022636
oct11650350046640
92346385787236
10675444444576
112404aa864440
12aaaa4b89880
134b9040368a5
1424997db1356
1512883427436
hex9d43a04da0

675444444576 has 192 divisors, whose sum is σ = 2002992001920. Its totient is φ = 197418045440.

The previous prime is 675444444557. The next prime is 675444444607.

675444444576 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6754444445762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31011226 + ... + 31032998.

It is an arithmetic number, because the mean of its divisors is an integer number (10432250010).

Almost surely, 2675444444576 is an apocalyptic number.

675444444576 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 675444444576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001496000960).

675444444576 is an abundant number, since it is smaller than the sum of its proper divisors (1327547557344).

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

675444444576 is a wasteful number, since it uses less digits than its factorization.

675444444576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22839 (or 22831 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 60.

The spelling of 675444444576 in words is "six hundred seventy-five billion, four hundred forty-four million, four hundred forty-four thousand, five hundred seventy-six".