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86212615580 = 225713215723209
BaseRepresentation
bin101000001001010101…
…1000001110110011100
322020112022020122102022
41100102223001312130
52403030412144310
6103334443315312
76141300066320
oct1202253016634
9266468218368
1086212615580
1133620857123
121486051bb38
13818c284100
14425bcd1980
152398b03a55
hex1412ac1d9c

86212615580 has 144 divisors (see below), whose sum is σ = 225487563840. Its totient is φ = 27109914624.

The previous prime is 86212615499. The next prime is 86212615589. The reversal of 86212615580 is 8551621268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86212615589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3703016 + ... + 3726224.

It is an arithmetic number, because the mean of its divisors is an integer number (1565885860).

Almost surely, 286212615580 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 86212615580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112743781920).

86212615580 is an abundant number, since it is smaller than the sum of its proper divisors (139274948260).

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

86212615580 is a wasteful number, since it uses less digits than its factorization.

86212615580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23408 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 86212615580 in words is "eighty-six billion, two hundred twelve million, six hundred fifteen thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 157 169 182 260 314 338 364 455 628 676 785 845 910 1099 1183 1570 1690 1820 2041 2198 2366 3140 3380 4082 4396 4732 5495 5915 8164 10205 10990 11830 14287 20410 21980 23209 23660 26533 28574 40820 46418 53066 57148 71435 92836 106132 116045 132665 142870 162463 185731 232090 265330 285740 301717 324926 371462 464180 530660 603434 649852 742924 812315 928655 1206868 1508585 1624630 1857310 2112019 3017170 3249260 3643813 3714620 3922321 4224038 6034340 7287626 7844642 8448076 10560095 14575252 15689284 18219065 19611605 21120190 25506691 27456247 36438130 39223210 42240380 47369569 51013382 54912494 72876260 78446420 94739138 102026764 109824988 127533455 137281235 189478276 236847845 255066910 274562470 331586983 473695690 510133820 549124940 615804397 663173966 947391380 1231608794 1326347932 1657934915 2463217588 3079021985 3315869830 4310630779 6158043970 6631739660 8621261558 12316087940 17242523116 21553153895 43106307790 86212615580