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9896612736 = 273251102679
BaseRepresentation
bin10010011011110001…
…00101001110000000
3221112201020000110110
421031320211032000
5130232013101421
64314010431320
7500150551233
oct111570451600
927481200413
109896612736
11421941a69a
121b02432540
13c1945bc8a
1469c52d41a
153cdc89a76
hex24de25380

9896612736 has 64 divisors (see below), whose sum is σ = 26392867200. Its totient is φ = 3285696000.

The previous prime is 9896612717. The next prime is 9896612749. The reversal of 9896612736 is 6372166989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 45045 + ... + 147723.

It is an arithmetic number, because the mean of its divisors is an integer number (412388550).

Almost surely, 29896612736 is an apocalyptic number.

9896612736 is a gapful number since it is divisible by the number (96) 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 9896612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13196433600).

9896612736 is an abundant number, since it is smaller than the sum of its proper divisors (16496254464).

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

9896612736 is a wasteful number, since it uses less digits than its factorization.

9896612736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102947 (or 102935 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 9896612736 is about 99481.7206123819. The cubic root of 9896612736 is about 2146.9842511156.

The spelling of 9896612736 in words is "nine billion, eight hundred ninety-six million, six hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 96384 102679 205358 308037 410716 616074 821432 1232148 1642864 2464296 3285728 4928592 6571456 9857184 13142912 19714368 25772429 39428736 51544858 77317287 103089716 154634574 206179432 309269148 412358864 618538296 824717728 1237076592 1649435456 2474153184 3298870912 4948306368 9896612736