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86594970132 = 223311270726927
BaseRepresentation
bin101000010100101110…
…1100110001000010100
322021111221201021021000
41100221131212020110
52404321303021012
6103440422423300
76153622046526
oct1205135461024
9267457637230
1086594970132
11337a766a820
1214948591b30
138220557bc8
1442969c1a16
1523bc47dddc
hex1429766214

86594970132 has 96 divisors (see below), whose sum is σ = 245014640640. Its totient is φ = 26230232160.

The previous prime is 86594970127. The next prime is 86594970151. The reversal of 86594970132 is 23107949568.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3202453 + ... + 3229379.

It is an arithmetic number, because the mean of its divisors is an integer number (2552235840).

It is a 1-persistent number, because it is pandigital, but 2⋅86594970132 = 173189940264 is not.

Almost surely, 286594970132 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 86594970132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122507320320).

86594970132 is an abundant number, since it is smaller than the sum of its proper divisors (158419670508).

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

86594970132 is a wasteful number, since it uses less digits than its factorization.

86594970132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29658 (or 29650 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 86594970132 in words is "eighty-six billion, five hundred ninety-four million, nine hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2707 5414 8121 10828 16242 24363 26927 29777 32484 48726 53854 59554 73089 80781 89331 97452 107708 119108 146178 161562 178662 242343 267993 292356 296197 323124 357324 484686 535986 592394 727029 803979 888591 969372 1071972 1184788 1454058 1607958 1777182 2665773 2908116 3215916 3554364 5331546 7997319 10663092 15994638 31989276 72891389 145782778 218674167 291565556 437348334 656022501 801805279 874696668 1312045002 1603610558 1968067503 2405415837 2624090004 3207221116 3936135006 4810831674 7216247511 7872270012 9621663348 14432495022 21648742533 28864990044 43297485066 86594970132