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86550914112 = 2631337991493
BaseRepresentation
bin101000010011011010…
…1100010010001000000
322021101212210222202120
41100212311202101000
52404224013222422
6103432210244240
76152545426365
oct1204665422100
9267355728676
1086550914112
1133784809893
1214935886680
1382143a1160
144290bd446c
1523b867a45c
hex1426d62440

86550914112 has 112 divisors (see below), whose sum is σ = 247268024640. Its totient is φ = 26560493568.

The previous prime is 86550914069. The next prime is 86550914123. The reversal of 86550914112 is 21141905568.

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, 900238 + ... + 991730.

It is an arithmetic number, because the mean of its divisors is an integer number (2207750220).

Almost surely, 286550914112 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 86550914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123634012320).

86550914112 is an abundant number, since it is smaller than the sum of its proper divisors (160717110528).

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

86550914112 is a wasteful number, since it uses less digits than its factorization.

86550914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91900 (or 91890 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 86550914112 in words is "eighty-six billion, five hundred fifty million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 379 416 624 758 832 1137 1248 1516 2274 2496 3032 4548 4927 6064 9096 9854 12128 14781 18192 19708 24256 29562 36384 39416 59124 72768 78832 91493 118248 157664 182986 236496 274479 315328 365972 472992 548958 731944 945984 1097916 1189409 1463888 2195832 2378818 2927776 3568227 4391664 4757636 5855552 7136454 8783328 9515272 14272908 17566656 19030544 28545816 34675847 38061088 57091632 69351694 76122176 104027541 114183264 138703388 208055082 228366528 277406776 416110164 450786011 554813552 832220328 901572022 1109627104 1352358033 1664440656 1803144044 2219254208 2704716066 3328881312 3606288088 5409432132 6657762624 7212576176 10818864264 14425152352 21637728528 28850304704 43275457056 86550914112