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166586158420 = 2251110923932903
BaseRepresentation
bin1001101100100101001…
…1110000110101010100
3120220222200020122212021
42123021103300311110
510212132024032140
6204310103302524
715015105661153
oct2331123606524
9526880218767
10166586158420
11647155a84a0
122835144aa44
131292a8c5c96
1480c450559a
1544eecabb4a
hex26c94f0d54

166586158420 has 96 divisors (see below), whose sum is σ = 385428637440. Its totient is φ = 59975285760.

The previous prime is 166586158411. The next prime is 166586158423. The reversal of 166586158420 is 24851685661.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166586158423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57382689 + ... + 57385591.

It is an arithmetic number, because the mean of its divisors is an integer number (4014881640).

Almost surely, 2166586158420 is an apocalyptic number.

166586158420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166586158420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192714318720).

166586158420 is an abundant number, since it is smaller than the sum of its proper divisors (218842479020).

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

166586158420 is a wasteful number, since it uses less digits than its factorization.

166586158420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 166586158420 in words is "one hundred sixty-six billion, five hundred eighty-six million, one hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 1090 1199 2180 2393 2398 2903 4786 4796 5806 5995 9572 11612 11965 11990 14515 23930 23980 26323 29030 31933 47860 52646 58060 63866 105292 127732 131615 159665 260837 263230 316427 319330 521674 526460 632854 638660 1043348 1265708 1304185 1582135 2608370 2869207 3164270 3480697 5216740 5738414 6328540 6946879 6961394 11476828 13893758 13922788 14346035 17403485 27787516 28692070 34734395 34806970 57384140 69468790 69613940 76415669 138937580 152831338 305662676 382078345 757209811 764156690 1514419622 1528313380 3028839244 3786049055 7572098110 8329307921 15144196220 16658615842 33317231684 41646539605 83293079210 166586158420