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86928780220 = 225174310357727
BaseRepresentation
bin101000011110101011…
…0111110101110111100
322022101012211120121121
41100331112332232330
52411012231431340
6103533505240324
76165114304012
oct1207526765674
9268335746547
1086928780220
1133959037227
1214a203330a4
138274762c79
1442c90768b2
1523db91a94a
hex143d5bebbc

86928780220 has 96 divisors (see below), whose sum is σ = 199707475968. Its totient is φ = 31654167552.

The previous prime is 86928780199. The next prime is 86928780223. The reversal of 86928780220 is 2208782968.

It is a super-2 number, since 2×869287802202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86928780223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476997 + ... + 1534723.

It is an arithmetic number, because the mean of its divisors is an integer number (2080286208).

Almost surely, 286928780220 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 86928780220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99853737984).

86928780220 is an abundant number, since it is smaller than the sum of its proper divisors (112778695748).

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

86928780220 is a wasteful number, since it uses less digits than its factorization.

86928780220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57899 (or 57897 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 86928780220 in words is "eighty-six billion, nine hundred twenty-eight million, seven hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 103 170 172 206 215 340 412 430 515 731 860 1030 1462 1751 2060 2924 3502 3655 4429 7004 7310 8755 8858 14620 17510 17716 22145 35020 44290 57727 75293 88580 115454 150586 230908 288635 301172 376465 577270 752930 981359 1154540 1505860 1962718 2482261 3925436 4906795 4964522 5945881 9813590 9929044 11891762 12411305 19627180 23783524 24822610 29729405 42198437 49645220 59458810 84396874 101079977 118917620 168793748 202159954 210992185 255672883 404319908 421984370 505399885 511345766 843968740 1010799770 1022691532 1278364415 2021599540 2556728830 4346439011 5113457660 8692878022 17385756044 21732195055 43464390110 86928780220