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6164342820 = 2232537925577
BaseRepresentation
bin1011011110110110…
…00110100000100100
3120220121022001122100
411233123012200210
5100111032432240
62455403132100
7305521022646
oct55733064044
916817261570
106164342820
112683679aa9
121240514030
1377314a13c
1442698c896
1526129be30
hex16f6c6824

6164342820 has 72 divisors (see below), whose sum is σ = 19203892344. Its totient is φ = 1599395328.

The previous prime is 6164342819. The next prime is 6164342837. The reversal of 6164342820 is 282434616.

6164342820 is a `hidden beast` number, since 6 + 1 + 643 + 4 + 2 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 368870436 + 5795472384 = 19206^2 + 76128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456129 + ... + 469448.

It is an arithmetic number, because the mean of its divisors is an integer number (266720727).

Almost surely, 26164342820 is an apocalyptic number.

6164342820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6164342820 is an abundant number, since it is smaller than the sum of its proper divisors (13039549524).

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

6164342820 is a wasteful number, since it uses less digits than its factorization.

6164342820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925629 (or 925624 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6164342820 is about 78513.3289320992. The cubic root of 6164342820 is about 1833.5619775073.

The spelling of 6164342820 in words is "six billion, one hundred sixty-four million, three hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 925577 1851154 2776731 3702308 4627885 5553462 8330193 9255770 11106924 13883655 16660386 18511540 27767310 33320772 34246349 41650965 55534620 68492698 83301930 102739047 136985396 166603860 171231745 205478094 308217141 342463490 410956188 513695235 616434282 684926980 1027390470 1232868564 1541085705 2054780940 3082171410 6164342820