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329426168100 = 223522995936653
BaseRepresentation
bin1001100101100110101…
…01000110100100100100
31011111022021110020201220
410302303111012210210
520344131044334400
6411200350020340
732541326141031
oct4626325064444
91144267406656
10329426168100
11117788535997
1253a181a76b0
13250ac35abb3
1411d31296388
158880c387a0
hex4cb3546924

329426168100 has 72 divisors (see below), whose sum is σ = 953197533120. Its totient is φ = 87841649280.

The previous prime is 329426168089. The next prime is 329426168101. The reversal of 329426168100 is 1861624923.

It is a super-2 number, since 2×3294261681002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (329426168101) 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, 8969374 + ... + 9006026.

Almost surely, 2329426168100 is an apocalyptic number.

329426168100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329426168100 is an abundant number, since it is smaller than the sum of its proper divisors (623771365020).

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

329426168100 is a wasteful number, since it uses less digits than its factorization.

329426168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66629 (or 66622 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 329426168100 in words is "three hundred twenty-nine billion, four hundred twenty-six million, one hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 29959 36653 59918 73306 89877 109959 119836 146612 149795 179754 183265 219918 299590 359508 366530 439836 449385 549795 599180 733060 748975 898770 916325 1099590 1497950 1797540 1832650 2199180 2246925 2748975 2995900 3665300 4493850 5497950 8987700 10995900 1098087227 2196174454 3294261681 4392348908 5490436135 6588523362 10980872270 13177046724 16471308405 21961744540 27452180675 32942616810 54904361350 65885233620 82356542025 109808722700 164713084050 329426168100