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87685169424 = 24367173315733
BaseRepresentation
bin101000110101001110…
…0011000000100010000
322101022221010010112120
41101222130120010100
52414034400410144
6104140525254240
76222630433236
oct1215234300420
9271287103476
1087685169424
1134206aa0676
1214bb1704380
138365386948
14435b6cc956
15243302ae19
hex146a718110

87685169424 has 80 divisors (see below), whose sum is σ = 230048198592. Its totient is φ = 28773702144.

The previous prime is 87685169419. The next prime is 87685169449. The reversal of 87685169424 is 42496158678.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5565462 + ... + 5581194.

Almost surely, 287685169424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87685169424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115024099296).

87685169424 is an abundant number, since it is smaller than the sum of its proper divisors (142363029168).

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

87685169424 is a wasteful number, since it uses less digits than its factorization.

87685169424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17544 (or 17538 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 87685169424 in words is "eighty-seven billion, six hundred eighty-five million, one hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 1733 3216 3466 5199 6932 10398 13864 15733 20796 27728 31466 41592 47199 62932 83184 94398 116111 125864 188796 232222 251728 348333 377592 464444 696666 755184 928888 1054111 1393332 1857776 2108222 2786664 3162333 4216444 5573328 6324666 8432888 12649332 16865776 25298664 27265289 50597328 54530578 81795867 109061156 163591734 218122312 327183468 436244624 654366936 1308733872 1826774363 3653548726 5480323089 7307097452 10960646178 14614194904 21921292356 29228389808 43842584712 87685169424