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9988855065225 = 325247244832
BaseRepresentation
bin1001000101011011011000…
…1010000110101010001001
31022100220222111001220110100
42101112312022012222021
52302124133344041400
633124452222240013
72050446066066141
oct221266612065211
938326874056410
109988855065225
113201282303623
121153aa7426009
13575c391b666a
1426766acd1921
15124c767c5100
hex915b6286a89

9988855065225 has 81 divisors (see below), whose sum is σ = 18283989769383. Its totient is φ = 5212877588640.

The previous prime is 9988855065197. The next prime is 9988855065253. The reversal of 9988855065225 is 5225605588899.

The square root of 9988855065225 is 3160515.

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

9988855065225 is a `hidden beast` number, since 9 + 9 + 8 + 8 + 8 + 550 + 65 + 2 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (9988855065197) and next prime (9988855065253).

It can be written as a sum of positive squares in only one way, i.e., 3595987823481 + 6392867241744 = 1896309^2 + 2528412^2 .

It is not a de Polignac number, because 9988855065225 - 229 = 9988318194313 is a prime.

It is a super-2 number, since 2×99888550652252 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2228160834 + ... + 2228165316.

Almost surely, 29988855065225 is an apocalyptic number.

9988855065225 is the 3160515-th square number.

9988855065225 is the 1580258-th centered octagonal number.

It is an amenable number.

9988855065225 is a deficient number, since it is larger than the sum of its proper divisors (8295134704158).

9988855065225 is an frugal number, since it uses more digits than its factorization.

9988855065225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 72.

The spelling of 9988855065225 in words is "nine trillion, nine hundred eighty-eight billion, eight hundred fifty-five million, sixty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2115 2209 3525 4483 6627 10575 11045 13449 19881 22415 33135 40347 55225 67245 99405 112075 165675 201735 210701 336225 497025 632103 1008675 1053505 1896309 3160515 5267525 9481545 9902947 15802575 20097289 29708841 47407725 49514735 60291867 89126523 100486445 148544205 180875601 247573675 301459335 445632615 502432225 742721025 904378005 944572583 1507296675 2228163075 2833717749 4521890025 4722862915 8501153247 14168588745 23614314575 42505766235 44394911401 70842943725 133184734203 212528831175 221974557005 399554202609 665923671015 1109872785025 1997771013045 3329618355075 9988855065225