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90183162640 = 2451766311149
BaseRepresentation
bin101001111111101010…
…1011101101100010000
322121210000112100000211
41103333111131230100
52434143342201030
6105232442053504
76341552143264
oct1237725355420
9277700470024
1090183162640
113527905397a
121558a1aa294
138672a6283c
14451737a0a4
15252c4ac12a
hex14ff55db10

90183162640 has 40 divisors (see below), whose sum is σ = 222009730200. Its totient is φ = 33951307776.

The previous prime is 90183162637. The next prime is 90183162697. The reversal of 90183162640 is 4626138109.

It can be written as a sum of positive squares in 4 ways, for example, as 22898952976 + 67284209664 = 151324^2 + 259392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 90183162593 and 90183162602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33154215 + ... + 33156934.

It is an arithmetic number, because the mean of its divisors is an integer number (5550243255).

Almost surely, 290183162640 is an apocalyptic number.

It is an amenable number.

90183162640 is an abundant number, since it is smaller than the sum of its proper divisors (131826567560).

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

90183162640 is a wasteful number, since it uses less digits than its factorization.

90183162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66311179 (or 66311173 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 90183162640 in words is "ninety billion, one hundred eighty-three million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 66311149 132622298 265244596 331555745 530489192 663111490 1060978384 1127289533 1326222980 2254579066 2652445960 4509158132 5304891920 5636447665 9018316264 11272895330 18036632528 22545790660 45091581320 90183162640