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9000920816608 = 257228117616257
BaseRepresentation
bin1000001011111011000010…
…1100000001101111100000
31011212110221122111011021011
42002332300230001233200
52134432341212112413
631050544350510304
71616203131403630
oct202766054015740
934773848434234
109000920816608
1129602a6169296
121014532205394
13503a248943a6
1423190b1006c0
1510920446b33d
hex82fb0b01be0

9000920816608 has 48 divisors (see below), whose sum is σ = 20260951581024. Its totient is φ = 3855846113280.

The previous prime is 9000920816597. The next prime is 9000920816611. The reversal of 9000920816608 is 8066180290009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8297185 + ... + 9319072.

It is an arithmetic number, because the mean of its divisors is an integer number (422103157938).

Almost surely, 29000920816608 is an apocalyptic number.

It is an amenable number.

9000920816608 is an abundant number, since it is smaller than the sum of its proper divisors (11260030764416).

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

9000920816608 is a wasteful number, since it uses less digits than its factorization.

9000920816608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17618555 (or 17618547 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 9000920816608 in words is "nine trillion, nine hundred twenty million, eight hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2281 4562 9124 15967 18248 31934 36496 63868 72992 127736 255472 510944 17616257 35232514 70465028 123313799 140930056 246627598 281860112 493255196 563720224 986510392 1973020784 3946041568 40182682217 80365364434 160730728868 281278775519 321461457736 562557551038 642922915472 1125115102076 1285845830944 2250230204152 4500460408304 9000920816608