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89465845014 = 232713117146643
BaseRepresentation
bin101001101010010010…
…1000111010100010110
322112221000202211020100
41103110211013110112
52431211224020024
6105033335314530
76315022064250
oct1232445072426
9275830684210
1089465845014
1134a40156597
1215409b1ba46
13858a26bc40
144489db4cd0
1524d95187c9
hex14d4947516

89465845014 has 96 divisors (see below), whose sum is σ = 238784442624. Its totient is φ = 23574732480.

The previous prime is 89465844997. The next prime is 89465845019. The reversal of 89465845014 is 41054856498.

89465845014 is a `hidden beast` number, since 8 + 9 + 4 + 6 + 584 + 50 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89465845019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1894777 + ... + 1941419.

It is an arithmetic number, because the mean of its divisors is an integer number (2487337944).

Almost surely, 289465845014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89465845014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119392221312).

89465845014 is an abundant number, since it is smaller than the sum of its proper divisors (149318597610).

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

89465845014 is a wasteful number, since it uses less digits than its factorization.

89465845014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47842 (or 47839 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

It can be divided in two parts, 8946584 and 5014, that added together give a palindrome (8951598).

The spelling of 89465845014 in words is "eighty-nine billion, four hundred sixty-five million, eight hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1171 1638 2342 3513 7026 8197 10539 15223 16394 21078 24591 30446 45669 46643 49182 73773 91338 93286 106561 137007 139929 147546 213122 274014 279858 319683 326501 419787 606359 639366 653002 839574 959049 979503 1212718 1819077 1918098 1959006 2938509 3638154 4244513 5457231 5877018 8489026 10914462 12733539 25467078 38200617 54618953 76401234 109237906 163856859 327713718 382332671 491570577 710046389 764665342 983141154 1146998013 1420092778 2130139167 2293996026 3440994039 4260278334 4970324723 6390417501 6881988078 9940649446 12780835002 14910974169 29821948338 44732922507 89465845014