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6166104660 = 22325166320599
BaseRepresentation
bin1011011111000011…
…10100101001010100
3120220201121120102200
411233201310221110
5100112010322120
62455505004500
7305542011342
oct55741645124
916821546380
106166104660
112684672771
121241023730
13773616051
14426cca992
152614e8e90
hex16f874a54

6166104660 has 72 divisors (see below), whose sum is σ = 18716006400. Its totient is φ = 1643226048.

The previous prime is 6166104643. The next prime is 6166104667. The reversal of 6166104660 is 664016616.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6166104667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289041 + ... + 309639.

Almost surely, 26166104660 is an apocalyptic number.

6166104660 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6166104660 is an abundant number, since it is smaller than the sum of its proper divisors (12549901740).

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

6166104660 is a wasteful number, since it uses less digits than its factorization.

6166104660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22277 (or 22272 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6166104660 is about 78524.5481362357. The cubic root of 6166104660 is about 1833.7366452274.

The spelling of 6166104660 in words is "six billion, one hundred sixty-six million, one hundred four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1663 3326 4989 6652 8315 9978 14967 16630 19956 20599 24945 29934 33260 41198 49890 59868 61797 74835 82396 99780 102995 123594 149670 185391 205990 247188 299340 308985 370782 411980 617970 741564 926955 1235940 1853910 3707820 34256137 68512274 102768411 137024548 171280685 205536822 308305233 342561370 411073644 513842055 616610466 685122740 1027684110 1233220932 1541526165 2055368220 3083052330 6166104660