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9913489632 = 253259583421
BaseRepresentation
bin10010011101110001…
…11101100011100000
3221120212222110012200
421032320331203200
5130300323132012
64315412253200
7500444162064
oct111670754340
927525873180
109913489632
1142279a7542
121b08011200
13c1caba9c7
146a0883aa4
153d04c03dc
hex24ee3d8e0

9913489632 has 72 divisors (see below), whose sum is σ = 28669357080. Its totient is φ = 3248482560.

The previous prime is 9913489631. The next prime is 9913489637. The reversal of 9913489632 is 2369843199.

9913489632 is a `hidden beast` number, since 99 + 13 + 489 + 63 + 2 = 666.

9913489632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913489631) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 274719 + ... + 308702.

It is an arithmetic number, because the mean of its divisors is an integer number (398185515).

Almost surely, 29913489632 is an apocalyptic number.

It is an amenable number.

9913489632 is an abundant number, since it is smaller than the sum of its proper divisors (18755867448).

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

9913489632 is a wasteful number, since it uses less digits than its factorization.

9913489632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583496 (or 583485 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 9913489632 is about 99566.5085859698. The cubic root of 9913489632 is about 2148.2039900732.

The spelling of 9913489632 in words is "nine billion, nine hundred thirteen million, four hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 583421 1166842 1750263 2333684 3500526 4667368 5250789 7001052 9334736 10501578 14002104 18669472 21003156 28004208 34421839 42006312 56008416 68843678 84012624 103265517 137687356 168025248 206531034 275374712 309796551 413062068 550749424 619593102 826124136 1101498848 1239186204 1652248272 2478372408 3304496544 4956744816 9913489632