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17968299144 = 2332433730763
BaseRepresentation
bin10000101110111111…
…100111110010001000
31201101020112011121220
4100232333213302020
5243244341033034
612130551002040
71204162010535
oct205677476210
951336464556
1017968299144
117690700104
123595669320
1319047b1393
14c26537d8c
157026e5749
hex42efe7c88

17968299144 has 32 divisors (see below), whose sum is σ = 44924053920. Its totient is φ = 5988992256.

The previous prime is 17968299133. The next prime is 17968299149. The reversal of 17968299144 is 44199286971.

It is a super-2 number, since 2×179682991442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17968299149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568707 + ... + 599469.

It is an arithmetic number, because the mean of its divisors is an integer number (1403876685).

Almost surely, 217968299144 is an apocalyptic number.

It is an amenable number.

17968299144 is an abundant number, since it is smaller than the sum of its proper divisors (26955754776).

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

17968299144 is a wasteful number, since it uses less digits than its factorization.

17968299144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55109 (or 55105 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 60.

The spelling of 17968299144 in words is "seventeen billion, nine hundred sixty-eight million, two hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 24337 30763 48674 61526 73011 92289 97348 123052 146022 184578 194696 246104 292044 369156 584088 738312 748679131 1497358262 2246037393 2994716524 4492074786 5989433048 8984149572 17968299144