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86291150190 = 23573116278147
BaseRepresentation
bin101000001011101011…
…0100111010101101110
322020201210000121122120
41100113112213111232
52403211013301230
6103350330453410
76143242450230
oct1202726472556
9266653017576
1086291150190
1133661117363
1214882894266
1381a26204ab
1442684d6250
1523a0968310
hex14175a756e

86291150190 has 128 divisors (see below), whose sum is σ = 244499447808. Its totient is φ = 19073370240.

The previous prime is 86291150189. The next prime is 86291150203. The reversal of 86291150190 is 9105119268.

It is a super-2 number, since 2×862911501902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 10587697 + ... + 10595843.

It is an arithmetic number, because the mean of its divisors is an integer number (1910151936).

Almost surely, 286291150190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86291150190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122249723904).

86291150190 is an abundant number, since it is smaller than the sum of its proper divisors (158208297618).

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

86291150190 is a wasteful number, since it uses less digits than its factorization.

86291150190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9822.

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 86291150190 in words is "eighty-six billion, two hundred ninety-one million, one hundred fifty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 1627 2170 3254 3255 4881 6510 8135 8147 9762 11389 16270 16294 22778 24405 24441 34167 40735 48810 48882 50437 56945 57029 68334 81470 100874 113890 114058 122205 151311 170835 171087 244410 252185 252557 285145 302622 341670 342174 353059 504370 505114 570290 706118 756555 757671 855435 1059177 1262785 1513110 1515342 1710870 1765295 1767899 2118354 2525570 3530590 3535798 3788355 5295885 5303697 7576710 8839495 10591770 10607394 13255169 17678990 26510338 26518485 39765507 53036970 66275845 79531014 92786183 132551690 185572366 198827535 278358549 397655070 410910239 463930915 556717098 821820478 927861830 1232730717 1391792745 2054551195 2465461434 2783585490 2876371673 4109102390 5752743346 6163653585 8629115019 12327307170 14381858365 17258230038 28763716730 43145575095 86291150190