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9164659328 = 27119767103
BaseRepresentation
bin10001000100100000…
…11001101010000000
3212122200220221010222
420202100121222000
5122232123044303
64113222242212
7443052214256
oct104220315200
925580827128
109164659328
113983236220
121939286368
13b30912756
1462d2385d6
153898a4938
hex222419a80

9164659328 has 64 divisors (see below), whose sum is σ = 20123147520. Its totient is φ = 4122746880.

The previous prime is 9164659313. The next prime is 9164659333. The reversal of 9164659328 is 8239564619.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 9164659328.

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, 103025 + ... + 170127.

It is an arithmetic number, because the mean of its divisors is an integer number (314424180).

Almost surely, 29164659328 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 9164659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061573760).

9164659328 is an abundant number, since it is smaller than the sum of its proper divisors (10958488192).

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

9164659328 is a wasteful number, since it uses less digits than its factorization.

9164659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67225 (or 67213 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 53.

The square root of 9164659328 is about 95732.2272173796. The cubic root of 9164659328 is about 2092.6926161518.

The spelling of 9164659328 in words is "nine billion, one hundred sixty-four million, six hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 352 388 704 776 1067 1408 1552 2134 3104 4268 6208 8536 12416 17072 34144 67103 68288 134206 136576 268412 536824 738133 1073648 1476266 2147296 2952532 4294592 5905064 6508991 8589184 11810128 13017982 23620256 26035964 47240512 52071928 71598901 94481024 104143856 143197802 208287712 286395604 416575424 572791208 833150848 1145582416 2291164832 4582329664 9164659328