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17742034336 = 2513197216493
BaseRepresentation
bin10000100001100000…
…011111010110100000
31200210110202201122211
4100201200133112200
5242313430044321
612052305211504
71165443542425
oct204140372640
950713681584
1017742034336
117584a08aa4
123531930b94
13189995c290
14c04479d4c
156dc8ee0e1
hex42181f5a0

17742034336 has 48 divisors (see below), whose sum is σ = 37807646184. Its totient is φ = 8147026944.

The previous prime is 17742034319. The next prime is 17742034351. The reversal of 17742034336 is 63343024771.

It can be written as a sum of positive squares in 4 ways, for example, as 16911441936 + 830592400 = 130044^2 + 28820^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26295 + ... + 190198.

Almost surely, 217742034336 is an apocalyptic number.

17742034336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17742034336 is an abundant number, since it is smaller than the sum of its proper divisors (20065611848).

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

17742034336 is a wasteful number, since it uses less digits than its factorization.

17742034336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216713 (or 216705 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 17742034336 in words is "seventeen billion, seven hundred forty-two million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 788 1576 2561 3152 5122 6304 10244 20488 40976 81952 216493 432986 865972 1731944 2814409 3463888 5628818 6927776 11257636 22515272 42649121 45030544 85298242 90061088 170596484 341192968 554438573 682385936 1108877146 1364771872 2217754292 4435508584 8871017168 17742034336