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2533513104 = 243222976829
BaseRepresentation
bin1001011100000010…
…0101011110010000
320112120020210121200
42113000211132100
520142034404404
61055221551200
7116532335403
oct22700453620
96476223550
102533513104
111090113991
125a8575500
13314b644a5
141a0695d3a
15ec64a839
hex97025790

2533513104 has 60 divisors (see below), whose sum is σ = 7121372700. Its totient is φ = 840805632.

The previous prime is 2533513063. The next prime is 2533513117. The reversal of 2533513104 is 4013153352.

It can be written as a sum of positive squares in 2 ways, for example, as 2462144400 + 71368704 = 49620^2 + 8448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5439 + ... + 71390.

It is an arithmetic number, because the mean of its divisors is an integer number (118689545).

Almost surely, 22533513104 is an apocalyptic number.

2533513104 is a gapful number since it is divisible by the number (24) 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 2533513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560686350).

2533513104 is an abundant number, since it is smaller than the sum of its proper divisors (4587859596).

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

2533513104 is a wasteful number, since it uses less digits than its factorization.

2533513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77072 (or 77063 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2533513104 is about 50334.0153772774. The cubic root of 2533513104 is about 1363.2464799747.

Adding to 2533513104 its reverse (4013153352), we get a palindrome (6546666456).

The spelling of 2533513104 in words is "two billion, five hundred thirty-three million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 76829 153658 230487 307316 460974 614632 691461 921948 1229264 1382922 1843896 2765844 3687792 5531688 11063376 17593841 35187682 52781523 70375364 105563046 140750728 158344569 211126092 281501456 316689138 422252184 633378276 844504368 1266756552 2533513104