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75852070112 = 25713160916189
BaseRepresentation
bin100011010100100100…
…0101011110011100000
321020210021001101220002
41012221020223303200
52220321112220422
654502421035132
75323453646360
oct1065110536340
9236707041802
1075852070112
112a194574a55
121284a855aa8
1371ca98a830
143957d189a0
151e8e277692
hex11a922bce0

75852070112 has 96 divisors (see below), whose sum is σ = 183920990400. Its totient is φ = 29986910208.

The previous prime is 75852070097. The next prime is 75852070117. The reversal of 75852070112 is 21107025857.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75852070117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4677314 + ... + 4693502.

It is an arithmetic number, because the mean of its divisors is an integer number (1915843650).

Almost surely, 275852070112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75852070112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91960495200).

75852070112 is an abundant number, since it is smaller than the sum of its proper divisors (108068920288).

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

75852070112 is a wasteful number, since it uses less digits than its factorization.

75852070112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17828 (or 17820 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 38.

Adding to 75852070112 its reverse (21107025857), we get a palindrome (96959095969).

The spelling of 75852070112 in words is "seventy-five billion, eight hundred fifty-two million, seventy thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1609 2912 3218 6436 11263 12872 16189 20917 22526 25744 32378 41834 45052 51488 64756 83668 90104 113323 129512 146419 167336 180208 210457 226646 259024 292838 334672 360416 420914 453292 518048 585676 669344 841828 906584 1171352 1473199 1683656 1813168 2342704 2946398 3367312 3626336 4685408 5892796 6734624 11785592 23571184 26048101 47142368 52096202 104192404 182336707 208384808 338625313 364673414 416769616 677250626 729346828 833539232 1354501252 1458693656 2370377191 2709002504 2917387312 4740754382 5418005008 5834774624 9481508764 10836010016 18963017528 37926035056 75852070112