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86877799720 = 23523591938293
BaseRepresentation
bin101000011101001010…
…0100000010100101000
322022020122220111111221
41100322110200110220
52410411204042340
6103524444431424
76163625053555
oct1207224402450
9268218814457
1086877799720
1133932286888
1214a07248574
1382670234aa
1442c23a5a2c
1523d71ea44a
hex143a520528

86877799720 has 128 divisors (see below), whose sum is σ = 208531065600. Its totient is φ = 32503578624.

The previous prime is 86877799663. The next prime is 86877799727. The reversal of 86877799720 is 2799777868.

It is a self number, because there is not a number n which added to its sum of digits gives 86877799720.

It is not an unprimeable number, because it can be changed into a prime (86877799727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10471894 + ... + 10480186.

It is an arithmetic number, because the mean of its divisors is an integer number (1629148950).

Almost surely, 286877799720 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 86877799720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104265532800).

86877799720 is an abundant number, since it is smaller than the sum of its proper divisors (121653265880).

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

86877799720 is a wasteful number, since it uses less digits than its factorization.

86877799720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 70.

The spelling of 86877799720 in words is "eighty-six billion, eight hundred seventy-seven million, seven hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 193 230 236 295 386 460 472 590 772 920 965 1180 1357 1544 1930 2360 2714 3860 4439 5428 6785 7720 8293 8878 10856 11387 13570 16586 17756 22195 22774 27140 33172 35512 41465 44390 45548 54280 56935 66344 82930 88780 91096 113870 165860 177560 190739 227740 261901 331720 381478 455480 489287 523802 762956 953695 978574 1047604 1309505 1525912 1600549 1907390 1957148 2095208 2446435 2619010 3201098 3814780 3914296 4892870 5238020 6402196 7629560 8002745 9785740 10476040 11253601 12804392 16005490 19571480 22507202 32010980 36812627 45014404 56268005 64021960 73625254 90028808 94432391 112536010 147250508 184063135 188864782 225072020 294501016 368126270 377729564 450144040 472161955 736252540 755459128 944323910 1472505080 1888647820 2171944993 3777295640 4343889986 8687779972 10859724965 17375559944 21719449930 43438899860 86877799720