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9883541056 = 26174432
BaseRepresentation
bin10010011010001101…
…01101111001000000
3221111210121220111011
421031012231321000
5130220141303211
64312422330304
7466631466334
oct111506557100
927453556434
109883541056
114212001754
121ab9b89994
13c1683325c
1469a8c97c4
153cca56921
hex24d1ade40

9883541056 has 105 divisors (see below), whose sum is σ = 21334312551. Its totient is φ = 4542913536.

The previous prime is 9883540991. The next prime is 9883541089. The reversal of 9883541056 is 6501453889.

The square root of 9883541056 is 99416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3067387456 + 6816153600 = 55384^2 + 82560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 229849771 + ... + 229849813.

Almost surely, 29883541056 is an apocalyptic number.

9883541056 is the 99416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9883541056

9883541056 is an abundant number, since it is smaller than the sum of its proper divisors (11450771495).

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

9883541056 is an frugal number, since it uses more digits than its factorization.

9883541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The cubic root of 9883541056 is about 2146.0385721212.

Multiplying 9883541056 by its sum of digits (49), we get a square (484293511744 = 6959122).

The spelling of 9883541056 in words is "nine billion, eight hundred eighty-three million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 136 172 272 289 344 544 578 688 731 1088 1156 1376 1462 1849 2312 2752 2924 3698 4624 4913 5848 7396 9248 9826 11696 12427 14792 18496 19652 23392 24854 29584 31433 39304 46784 49708 59168 62866 78608 83521 99416 118336 125732 157216 167042 198832 211259 251464 314432 334084 397664 422518 502928 534361 668168 795328 845036 1005856 1068722 1336336 1690072 2011712 2137444 2672672 3380144 3591403 4274888 5345344 6760288 7182806 8549776 9084137 13520576 14365612 17099552 18168274 28731224 34199104 36336548 57462448 72673096 114924896 145346192 154430329 229849792 290692384 308860658 581384768 617721316 1235442632 2470885264 4941770528 9883541056