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9968384832 = 263729255757
BaseRepresentation
bin10010100100010100…
…10111101101000000
3221201201021102021020
421102022113231000
5130403401303312
64325053025440
7502011605310
oct112212275500
927651242236
109968384832
11425599107a
121b22485280
13c2b29b283
146a7c93440
153d521578c
hex252297b40

9968384832 has 112 divisors (see below), whose sum is σ = 31182015360. Its totient is φ = 2749888512.

The previous prime is 9968384807. The next prime is 9968384837. The reversal of 9968384832 is 2384838699.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968384837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88903 + ... + 166854.

Almost surely, 29968384832 is an apocalyptic number.

It is an amenable number.

9968384832 is an abundant number, since it is smaller than the sum of its proper divisors (21213630528).

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

9968384832 is a wasteful number, since it uses less digits than its factorization.

9968384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255808 (or 255798 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 9968384832 is about 99841.7990222532. The cubic root of 9968384832 is about 2152.1618660003.

The spelling of 9968384832 in words is "nine billion, nine hundred sixty-eight million, three hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2436 2784 3248 4872 5568 6496 9744 12992 19488 38976 255757 511514 767271 1023028 1534542 1790299 2046056 3069084 3580598 4092112 5370897 6138168 7161196 7416953 8184224 10741794 12276336 14322392 14833906 16368448 21483588 22250859 24552672 28644784 29667812 42967176 44501718 49105344 51918671 57289568 59335624 85934352 89003436 103837342 114579136 118671248 155756013 171868704 178006872 207674684 237342496 311512026 343737408 356013744 415349368 474684992 623024052 712027488 830698736 1246048104 1424054976 1661397472 2492096208 3322794944 4984192416 9968384832