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16552140561 = 3311179311347
BaseRepresentation
bin11110110101001010…
…11001111100010001
31120201112202212021000
433122211121330101
5232344321444221
611334241452213
71124114605365
oct173245317421
946645685230
1016552140561
117024285210
12325b341069
13173a295b18
14b3041b2a5
1566d20ce26
hex3da959f11

16552140561 has 32 divisors (see below), whose sum is σ = 26900467200. Its totient is φ = 9975525840.

The previous prime is 16552140551. The next prime is 16552140571. The reversal of 16552140561 is 16504125561.

16552140561 is a `hidden beast` number, since 1 + 6 + 5 + 52 + 1 + 40 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (16552140551) and next prime (16552140571).

It is not a de Polignac number, because 16552140561 - 210 = 16552139537 is a prime.

It is a super-2 number, since 2×165521405612 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16552140551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 102511 + ... + 208836.

It is an arithmetic number, because the mean of its divisors is an integer number (840639600).

Almost surely, 216552140561 is an apocalyptic number.

16552140561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16552140561 is a deficient number, since it is larger than the sum of its proper divisors (10348326639).

16552140561 is a wasteful number, since it uses less digits than its factorization.

16552140561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311546 (or 311540 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 16552140561 in words is "sixteen billion, five hundred fifty-two million, one hundred forty thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 179 297 537 1611 1969 4833 5907 17721 53163 311347 934041 2802123 3424817 8406369 10274451 30823353 55731113 92470059 167193339 501580017 613042243 1504740051 1839126729 5517380187 16552140561