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15043255120 = 24517101109517
BaseRepresentation
bin11100000001010010…
…11101101101010000
31102211101112112120001
432000221131231100
5221302033130440
610524421055344
71041533362435
oct160051355520
942741475501
1015043255120
11641a586253
122ab9b57554
1315597b23ba
14a29c83b8c
155d0a0ab9a
hex380a5db50

15043255120 has 80 divisors (see below), whose sum is σ = 37399958928. Its totient is φ = 5607219200.

The previous prime is 15043255109. The next prime is 15043255121. The reversal of 15043255120 is 2155234051.

It can be written as a sum of positive squares in 8 ways, for example, as 123121216 + 14920133904 = 11096^2 + 122148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15043255121) 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, 82602 + ... + 192118.

Almost surely, 215043255120 is an apocalyptic number.

15043255120 is a gapful number since it is divisible by the number (10) 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 15043255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18699979464).

15043255120 is an abundant number, since it is smaller than the sum of its proper divisors (22356703808).

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

15043255120 is a wasteful number, since it uses less digits than its factorization.

15043255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109648 (or 109642 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 15043255120 its reverse (2155234051), we get a palindrome (17198489171).

The spelling of 15043255120 in words is "fifteen billion, forty-three million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1616 1717 2020 3434 4040 6868 8080 8585 13736 17170 27472 34340 68680 109517 137360 219034 438068 547585 876136 1095170 1752272 1861789 2190340 3723578 4380680 7447156 8761360 9308945 11061217 14894312 18617890 22122434 29788624 37235780 44244868 55306085 74471560 88489736 110612170 148943120 176979472 188040689 221224340 376081378 442448680 752162756 884897360 940203445 1504325512 1880406890 3008651024 3760813780 7521627560 15043255120