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86140600580 = 225193728121803
BaseRepresentation
bin101000000111001100…
…0010100000100000100
322020100021201220102002
41100032120110010010
52402403443204310
6103323352004432
76136434011126
oct1201630240404
9266307656362
1086140600580
113359413a1a1
1214840390718
13817a38b398
144252507216
15239262ada5
hex140e614104

86140600580 has 96 divisors (see below), whose sum is σ = 196267397760. Its totient is φ = 31646039040.

The previous prime is 86140600547. The next prime is 86140600591. The reversal of 86140600580 is 8500604168.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939959 + ... + 3961761.

It is an arithmetic number, because the mean of its divisors is an integer number (2044452060).

Almost surely, 286140600580 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 86140600580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98133698880).

86140600580 is an abundant number, since it is smaller than the sum of its proper divisors (110126797180).

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

86140600580 is a wasteful number, since it uses less digits than its factorization.

86140600580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22149 (or 22147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 86140600580 in words is "eighty-six billion, one hundred forty million, six hundred thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 281 370 380 562 703 740 1124 1405 1406 2810 2812 3515 5339 5620 7030 10397 10678 14060 20794 21356 21803 26695 41588 43606 51985 53390 87212 103970 106780 109015 197543 207940 218030 395086 414257 436060 790172 806711 828514 987715 1613422 1657028 1975430 2071285 3226844 3950860 4033555 4142570 6126643 8067110 8285140 12253286 15327509 16134220 24506572 30633215 30655018 61266430 61310036 76637545 116406217 122532860 153275090 226685791 232812434 306550180 453371582 465624868 582031085 906743164 1133428955 1164062170 2266857910 2328124340 4307030029 4533715820 8614060058 17228120116 21535150145 43070300290 86140600580