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9053617664 = 29713434519
BaseRepresentation
bin10000110111010001…
…10011111000000000
3212100221222102121202
420123220303320000
5122020211231124
64054214240332
7440233323530
oct103350637000
925327872552
109053617664
113926592a53
1219080560a8
13b13904220
1461c5b14c0
1537ec6d5ae
hex21ba33e00

9053617664 has 160 divisors (see below), whose sum is σ = 22786874880. Its totient is φ = 3497582592.

The previous prime is 9053617637. The next prime is 9053617669. The reversal of 9053617664 is 4667163509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9053617669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001197 + ... + 2005715.

It is an arithmetic number, because the mean of its divisors is an integer number (142417968).

Almost surely, 29053617664 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 9053617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393437440).

9053617664 is an abundant number, since it is smaller than the sum of its proper divisors (13733257216).

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

9053617664 is a wasteful number, since it uses less digits than its factorization.

9053617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 9053617664 is about 95150.5000722540. The cubic root of 9053617664 is about 2084.2063595891.

The spelling of 9053617664 in words is "nine billion, fifty-three million, six hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 86 91 104 112 128 172 182 208 224 256 301 344 364 416 448 512 559 602 688 728 832 896 1118 1204 1376 1456 1664 1792 2236 2408 2752 2912 3328 3584 3913 4472 4519 4816 5504 5824 6656 7826 8944 9038 9632 11008 11648 15652 17888 18076 19264 22016 23296 31304 31633 35776 36152 38528 46592 58747 62608 63266 71552 72304 77056 117494 125216 126532 143104 144608 154112 194317 234988 250432 253064 286208 289216 388634 411229 469976 500864 506128 578432 777268 822458 939952 1001728 1012256 1156864 1360219 1554536 1644916 1879904 2003456 2024512 2313728 2526121 2720438 3109072 3289832 3759808 4049024 5052242 5440876 6218144 6579664 7519616 8098048 10104484 10881752 12436288 13159328 15039232 16196096 17682847 20208968 21763504 24872576 26318656 30078464 35365694 40417936 43527008 49745152 52637312 70731388 80835872 87054016 99490304 105274624 141462776 161671744 174108032 210549248 282925552 323343488 348216064 565851104 646686976 696432128 1131702208 1293373952 2263404416 4526808832 9053617664