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17999978896 = 2417219732
BaseRepresentation
bin10000110000111000…
…011110000110010000
31201110110010200002001
4100300320132012100
5243330443311041
612134042003344
71205025203404
oct206070360620
951413120061
1017999978896
1176a7578619
1235a41a6554
13190b223ab3
14c2a823104
157053a2131
hex430e1e190

17999978896 has 45 divisors (see below), whose sum is σ = 37065888451. Its totient is φ = 8466285056.

The previous prime is 17999978891. The next prime is 17999978897. The reversal of 17999978896 is 69887999971.

The square root of 17999978896 is 134164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1073296 + 17998905600 = 1036^2 + 134160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17999978891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9122166 + ... + 9124138.

Almost surely, 217999978896 is an apocalyptic number.

17999978896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17999978896 is the 134164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17999978896

17999978896 is an abundant number, since it is smaller than the sum of its proper divisors (19065909555).

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

17999978896 is an frugal number, since it uses more digits than its factorization.

17999978896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 1992 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 82.

The spelling of 17999978896 in words is "seventeen billion, nine hundred ninety-nine million, nine hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1973 2312 3946 4624 7892 15784 31568 33541 67082 134164 268328 536656 570197 1140394 2280788 3892729 4561576 7785458 9123152 15570916 31141832 62283664 66176393 132352786 264705572 529411144 1058822288 1124998681 2249997362 4499994724 8999989448 17999978896