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9926486016 = 21134337573
BaseRepresentation
bin10010011111010101…
…00010100000000000
3221121210102201220020
421033222202200000
5130312140023031
64320555013440
7500662511316
oct111752424000
927553381806
109926486016
114234273957
121b1043a280
13c226bb385
146a24a80b6
153d16db096
hex24faa2800

9926486016 has 96 divisors (see below), whose sum is σ = 27080333280. Its totient is φ = 3231793152.

The previous prime is 9926485993. The next prime is 9926486041. The reversal of 9926486016 is 6106846299.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 9926486016.

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, 245406 + ... + 282978.

It is an arithmetic number, because the mean of its divisors is an integer number (282086805).

Almost surely, 29926486016 is an apocalyptic number.

9926486016 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 9926486016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540166640).

9926486016 is an abundant number, since it is smaller than the sum of its proper divisors (17153847264).

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

9926486016 is a wasteful number, since it uses less digits than its factorization.

9926486016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37641 (or 37621 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 9926486016 is about 99631.7520472264. The cubic root of 9926486016 is about 2149.1423307758.

The spelling of 9926486016 in words is "nine billion, nine hundred twenty-six million, four hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4128 5504 6144 8256 11008 16512 22016 33024 37573 44032 66048 75146 88064 112719 132096 150292 225438 264192 300584 450876 601168 901752 1202336 1615639 1803504 2404672 3231278 3607008 4809344 4846917 6462556 7214016 9618688 9693834 12925112 14428032 19237376 19387668 25850224 28856064 38474752 38775336 51700448 57712128 76949504 77550672 103400896 115424256 155101344 206801792 230848512 310202688 413603584 620405376 827207168 1240810752 1654414336 2481621504 3308828672 4963243008 9926486016