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9484900128 = 2532117014271
BaseRepresentation
bin10001101010101100…
…00001011100100000
3220111000111211221100
420311112001130200
5123411113301003
64205102154400
7454021215024
oct106526013440
926430454840
109484900128
114027a84940
121a08582a00
13b82079452
1465d99a384
153a7a60ba3
hex235581720

9484900128 has 144 divisors (see below), whose sum is σ = 29473621632. Its totient is φ = 2869440000.

The previous prime is 9484900099. The next prime is 9484900129. The reversal of 9484900128 is 8210094849.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (9484900129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2218633 + ... + 2222903.

It is an arithmetic number, because the mean of its divisors is an integer number (204677928).

Almost surely, 29484900128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9484900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736810816).

9484900128 is an abundant number, since it is smaller than the sum of its proper divisors (19988721504).

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

9484900128 is a wasteful number, since it uses less digits than its factorization.

9484900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 9484900128 is about 97390.4519344684. The cubic root of 9484900128 is about 2116.7890849100.

The spelling of 9484900128 in words is "nine billion, four hundred eighty-four million, nine hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 701 792 1056 1402 1584 2103 2804 3168 4206 4271 5608 6309 7711 8412 8542 11216 12618 12813 15422 16824 17084 22432 23133 25236 25626 30844 33648 34168 38439 46266 46981 50472 51252 61688 67296 68336 69399 76878 92532 93962 100944 102504 123376 136672 138798 140943 153756 185064 187924 201888 205008 246752 277596 281886 307512 370128 375848 410016 422829 555192 563772 615024 740256 751696 845658 1110384 1127544 1230048 1503392 1691316 2220768 2255088 2993971 3382632 4510176 5987942 6765264 8981913 11975884 13530528 17963826 23951768 26945739 32933681 35927652 47903536 53891478 65867362 71855304 95807072 98801043 107782956 131734724 143710608 197602086 215565912 263469448 287421216 296403129 395204172 431131824 526938896 592806258 790408344 862263648 1053877792 1185612516 1580816688 2371225032 3161633376 4742450064 9484900128