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86142238208 = 291318171503
BaseRepresentation
bin101000000111001111…
…0100011111000000000
322020100101211002210222
41100032132203320000
52402404403110313
6103323451042212
76136453641425
oct1201636437000
9266311732728
1086142238208
1133595058604
1214840a40368
13817a8128b0
144252811d4c
152392851208
hex140e7a3e00

86142238208 has 80 divisors (see below), whose sum is σ = 186382612416. Its totient is φ = 39537745920.

The previous prime is 86142238081. The next prime is 86142238219. The reversal of 86142238208 is 80283224168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1168985 + ... + 1240487.

Almost surely, 286142238208 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 86142238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93191306208).

86142238208 is an abundant number, since it is smaller than the sum of its proper divisors (100240374208).

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

86142238208 is a wasteful number, since it uses less digits than its factorization.

86142238208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71715 (or 71699 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 86142238208 in words is "eighty-six billion, one hundred forty-two million, two hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 181 208 256 362 416 512 724 832 1448 1664 2353 2896 3328 4706 5792 6656 9412 11584 18824 23168 37648 46336 71503 75296 92672 143006 150592 286012 301184 572024 602368 929539 1144048 1204736 1859078 2288096 3718156 4576192 7436312 9152384 12942043 14872624 18304768 25884086 29745248 36609536 51768172 59490496 103536344 118980992 168246559 207072688 237961984 336493118 414145376 475923968 672986236 828290752 1345972472 1656581504 2691944944 3313163008 5383889888 6626326016 10767779776 21535559552 43071119104 86142238208