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9144827013087 = 34317349889129
BaseRepresentation
bin1000010100010011001000…
…1010100110011111011111
31012101020101201101101020000
42011010302022212133133
52144312101203404322
631241024152025343
71632456224033103
oct205046212463737
935336351341200
109144827013087
112a06332497687
1210383b4092253
135144797c383c
1423887d425903
1510cd280843ac
hex851322a67df

9144827013087 has 40 divisors (see below), whose sum is σ = 14294632640640. Its totient is φ = 5819067889920.

The previous prime is 9144827013041. The next prime is 9144827013151. The reversal of 9144827013087 is 7803107284419.

9144827013087 is a `hidden beast` number, since 9 + 1 + 4 + 482 + 70 + 13 + 0 + 87 = 666.

9144827013087 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9144827013087 - 28 = 9144827012831 is a prime.

It is a super-4 number, since 4×91448270130874 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9144827013187) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24761262 + ... + 25127867.

It is an arithmetic number, because the mean of its divisors is an integer number (357365816016).

Almost surely, 29144827013087 is an apocalyptic number.

9144827013087 is a deficient number, since it is larger than the sum of its proper divisors (5149805627553).

9144827013087 is a wasteful number, since it uses less digits than its factorization.

9144827013087 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49889245 (or 49889236 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 9144827013087 in words is "nine trillion, one hundred forty-four billion, eight hundred twenty-seven million, thirteen thousand, eighty-seven".

Divisors: 1 3 9 27 31 73 81 93 219 279 657 837 1971 2263 2511 5913 6789 20367 61101 183303 49889129 149667387 449002161 1347006483 1546562999 3641906417 4041019449 4639688997 10925719251 13919066991 32777157753 41757200973 98331473259 112899098927 125271602919 294994419777 338697296781 1016091890343 3048275671029 9144827013087