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9053403008 = 27132439733
BaseRepresentation
bin10000110111001111…
…11111011110000000
3212100221120112011112
420123213333132000
5122020132344013
64054205502452
7440231440646
oct103347773600
925327515145
109053403008
113926456751
121907b71a28
13b1385a600
1461c557196
1537ec29ba8
hex21b9ff780

9053403008 has 96 divisors (see below), whose sum is σ = 19986432840. Its totient is φ = 4080900096.

The previous prime is 9053402983. The next prime is 9053403011. The reversal of 9053403008 is 8003043509.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 925310 + ... + 935042.

Almost surely, 29053403008 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 9053403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993216420).

9053403008 is an abundant number, since it is smaller than the sum of its proper divisors (10933029832).

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

9053403008 is a wasteful number, since it uses less digits than its factorization.

9053403008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 9053403008 is about 95149.3720841078. The cubic root of 9053403008 is about 2084.1898876861.

The spelling of 9053403008 in words is "nine billion, fifty-three million, four hundred three thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 169 172 208 338 344 416 559 676 688 832 1118 1352 1376 1664 2236 2704 2752 4472 5408 5504 7267 8944 9733 10816 14534 17888 19466 21632 29068 35776 38932 58136 71552 77864 116272 126529 155728 232544 253058 311456 418519 465088 506116 622912 837038 930176 1012232 1245824 1644877 1674076 2024464 3289754 3348152 4048928 5440747 6579508 6696304 8097856 10881494 13159016 13392608 16195712 21762988 26318032 26785216 43525976 52636064 53570432 70729711 87051952 105272128 141459422 174103904 210544256 282918844 348207808 565837688 696415616 1131675376 2263350752 4526701504 9053403008