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9003528664 = 23132322316879
BaseRepresentation
bin10000110001010011…
…01111000111011000
3212020110201122102121
420120221233013120
5121414400404124
64045224511024
7436054505464
oct103051570730
925213648377
109003528664
113900291389
1218b331b474
13b06417470
14615a934a4
1537a6772e4
hex218a6f1d8

9003528664 has 64 divisors (see below), whose sum is σ = 19056844800. Its totient is φ = 3956743296.

The previous prime is 9003528659. The next prime is 9003528671. The reversal of 9003528664 is 4668253009.

It is a self number, because there is not a number n which added to its sum of digits gives 9003528664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524977 + ... + 541855.

It is an arithmetic number, because the mean of its divisors is an integer number (297763200).

Almost surely, 29003528664 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 9003528664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528422400).

9003528664 is an abundant number, since it is smaller than the sum of its proper divisors (10053316136).

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

9003528664 is a wasteful number, since it uses less digits than its factorization.

9003528664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17144 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 9003528664 is about 94886.9256747209. The cubic root of 9003528664 is about 2080.3556363056.

The spelling of 9003528664 in words is "nine billion, three million, five hundred twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 223 299 446 598 892 1196 1784 2392 2899 5129 5798 10258 11596 16879 20516 23192 33758 41032 66677 67516 133354 135032 219427 266708 388217 438854 533416 776434 877708 1552868 1755416 3105736 3764017 5046821 7528034 10093642 15056068 20187284 30112136 40374568 48932221 86572391 97864442 173144782 195728884 346289564 391457768 692579128 1125441083 2250882166 4501764332 9003528664