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9883465864804 = 227241254772
BaseRepresentation
bin1000111111010010110001…
…1110001101011001100100
31021222211221201200211001001
42033310230132031121210
52243412314230133204
633004222422043044
72040025332501100
oct217645436153144
937884851624031
109883465864804
113170610901484
121137594879484
1356901201853c
1426251021a900
151221593a54a4
hex8fd2c78d664

9883465864804 has 81 divisors (see below), whose sum is σ = 20626377243339. Its totient is φ = 4131705083520.

The previous prime is 9883465864733. The next prime is 9883465864819. The reversal of 9883465864804 is 4084685643889.

The square root of 9883465864804 is 3143798.

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

It can be written as a sum of positive squares in 4 ways, for example, as 368412580900 + 9515053283904 = 606970^2 + 3084648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1804537314 + ... + 1804542790.

Almost surely, 29883465864804 is an apocalyptic number.

9883465864804 is the 3143798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9883465864804

9883465864804 is an abundant number, since it is smaller than the sum of its proper divisors (10742911378535).

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

9883465864804 is an frugal number, since it uses more digits than its factorization.

9883465864804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11054 (or 5527 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 73.

The spelling of 9883465864804 in words is "nine trillion, eight hundred eighty-three billion, four hundred sixty-five million, eight hundred sixty-four thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 1681 2009 3362 4018 5477 6724 8036 10954 11767 21908 23534 38339 47068 76678 82369 153356 164738 224557 268373 329476 449114 536746 898228 1073492 1571899 3143798 6287596 9206837 11003293 18413674 22006586 29997529 36827348 44013172 59995058 64447859 119990116 128895718 209982703 257791436 419965406 451135013 839930812 902270026 1229898689 1469878921 1804540052 2459797378 2939757842 4919594756 5879515684 8609290823 17218581646 34437163292 50425846249 60265035761 100851692498 120530071522 201703384996 241060143044 352980923743 705961847486 1411923694972 2470866466201 4941732932402 9883465864804