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9987388640089 = 72172265572
BaseRepresentation
bin1001000101010101111011…
…0000001000101101011001
31022100210012021201210100021
42101111132300020231121
52302113132442440324
633124050515510441
72050364541506200
oct221253660105531
938323167653307
109987388640089
11320069a575723
1211537582b8421
13575a6444b593
1426756c24c237
15124bdcbadae4
hex9155ec08b59

9987388640089 has 27 divisors (see below), whose sum is σ = 12342058821693. Its totient is φ = 8056749633408.

The previous prime is 9987388640057. The next prime is 9987388640093. The reversal of 9987388640089 is 9800468837899.

The square root of 9987388640089 is 3160283.

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 596473548489 + 9390915091600 = 772317^2 + 3064460^2 .

It is not a de Polignac number, because 9987388640089 - 25 = 9987388640057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9987388649089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376060399 + ... + 376086955.

Almost surely, 29987388640089 is an apocalyptic number.

9987388640089 is the 3160283-rd square number.

9987388640089 is the 1580142-nd centered octagonal number.

It is an amenable number.

9987388640089 is a deficient number, since it is larger than the sum of its proper divisors (2354670181604).

9987388640089 is an frugal number, since it uses more digits than its factorization.

9987388640089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53162 (or 26581 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 79.

The spelling of 9987388640089 in words is "nine trillion, nine hundred eighty-seven billion, three hundred eighty-eight million, six hundred forty thousand, eighty-nine".

Divisors: 1 7 17 49 119 289 833 2023 14161 26557 185899 451469 1301293 3160283 7674973 22121981 53724811 376073677 705274249 4936919743 11989662233 34558438201 83927635631 203824257961 587493449417 1426769805727 9987388640089