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9012748680 = 23325131925801
BaseRepresentation
bin10000110010011001…
…11010000110001000
3212021010002001220200
420121030322012020
5121424230424210
64050154252200
7436226046135
oct103114720610
925233061820
109012748680
113905509531
1218b6427060
13b082c4cb0
14616db358c
1537b3990c0
hex21933a188

9012748680 has 96 divisors (see below), whose sum is σ = 31544636760. Its totient is φ = 2218521600.

The previous prime is 9012748631. The next prime is 9012748687. The reversal of 9012748680 is 868472109.

9012748680 is a `hidden beast` number, since 90 + 1 + 2 + 7 + 486 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5681842884 + 3330905796 = 75378^2 + 57714^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9012748687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 958221 + ... + 967580.

Almost surely, 29012748680 is an apocalyptic number.

9012748680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9012748680 is an abundant number, since it is smaller than the sum of its proper divisors (22531888080).

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

9012748680 is a wasteful number, since it uses less digits than its factorization.

9012748680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925831 (or 1925824 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9012748680 is about 94935.4974706511. The cubic root of 9012748680 is about 2081.0655197790.

The spelling of 9012748680 in words is "nine billion, twelve million, seven hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 1925801 3851602 5777403 7703204 9629005 11554806 15406408 17332209 19258010 23109612 25035413 28887015 34664418 38516020 46219224 50070826 57774030 69328836 75106239 77032040 86661045 100141652 115548060 125177065 138657672 150212478 173322090 200283304 225318717 231096120 250354130 300424956 346644180 375531195 450637434 500708260 600849912 693288360 751062390 901274868 1001416520 1126593585 1502124780 1802549736 2253187170 3004249560 4506374340 9012748680