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9010646680480 = 255187330067561
BaseRepresentation
bin1000001100011111010001…
…1001010000001110100000
31011220102001110102020022121
42003013310121100032200
52140112301022233410
631055233421514024
71616666140030114
oct203076431201640
934812043366277
109010646680480
112964437164815
1210163a7412914
1350491483b223
14232190aa3744
151095c32289da
hex831f46503a0

9010646680480 has 48 divisors (see below), whose sum is σ = 21299019029064. Its totient is φ = 3602334228480.

The previous prime is 9010646680457. The next prime is 9010646680531. The reversal of 9010646680480 is 840866460109.

It can be written as a sum of positive squares in 4 ways, for example, as 1595765191696 + 7414881488784 = 1263236^2 + 2723028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14734101 + ... + 15333460.

Almost surely, 29010646680480 is an apocalyptic number.

It is an amenable number.

9010646680480 is an abundant number, since it is smaller than the sum of its proper divisors (12288372348584).

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

9010646680480 is a wasteful number, since it uses less digits than its factorization.

9010646680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30069449 (or 30069441 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 9010646680480 in words is "nine trillion, ten billion, six hundred forty-six million, six hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1873 3746 7492 9365 14984 18730 29968 37460 59936 74920 149840 299680 30067561 60135122 120270244 150337805 240540488 300675610 481080976 601351220 962161952 1202702440 2405404880 4810809760 56316541753 112633083506 225266167012 281582708765 450532334024 563165417530 901064668048 1126330835060 1802129336096 2252661670120 4505323340240 9010646680480