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86105258070 = 235132931245587
BaseRepresentation
bin101000000110001000…
…1011111100001010110
322020020211020022121020
41100030101133201112
52402320421224240
6103320050302010
76135524421546
oct1201421374126
9266224208536
1086105258070
113357619a907
1214830587906
138172c65760
14424b947326
15238e4990d0
hex140c45f856

86105258070 has 128 divisors (see below), whose sum is σ = 237650595840. Its totient is φ = 19804055040.

The previous prime is 86105258051. The next prime is 86105258089. The reversal of 86105258070 is 7085250168.

It is an interprime number because it is at equal distance from previous prime (86105258051) and next prime (86105258089).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227817 + ... + 473403.

It is an arithmetic number, because the mean of its divisors is an integer number (1856645280).

Almost surely, 286105258070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86105258070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118825297920).

86105258070 is an abundant number, since it is smaller than the sum of its proper divisors (151545337770).

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

86105258070 is a wasteful number, since it uses less digits than its factorization.

86105258070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245670.

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 86105258070 in words is "eighty-six billion, one hundred five million, two hundred fifty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 31 39 58 62 65 78 87 93 130 145 155 174 186 195 290 310 377 390 403 435 465 754 806 870 899 930 1131 1209 1798 1885 2015 2262 2418 2697 3770 4030 4495 5394 5655 6045 8990 11310 11687 12090 13485 23374 26970 35061 58435 70122 116870 175305 245587 350610 491174 736761 1227935 1473522 2455870 3192631 3683805 6385262 7122023 7367610 7613197 9577893 14244046 15226394 15963155 19155786 21366069 22839591 31926310 35610115 38065985 42732138 45679182 47889465 71220230 76131970 92586299 95778930 98971561 106830345 114197955 185172598 197943122 213660690 220782713 228395910 277758897 296914683 441565426 462931495 494857805 555517794 593829366 662348139 925862990 989715610 1103913565 1324696278 1388794485 1484573415 2207827130 2777588970 2870175269 2969146830 3311740695 5740350538 6623481390 8610525807 14350876345 17221051614 28701752690 43052629035 86105258070