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17948430064 = 2410910291531
BaseRepresentation
bin10000101101110011…
…110100111011110000
31201022212010201101001
4100231303310323300
5243224244230224
612125001051344
71203531065305
oct205563647360
951285121331
1017948430064
11768046a184
12358aa86b54
131900645726
14c23a450ac
15700abd544
hex42dcf4ef0

17948430064 has 20 divisors (see below), whose sum is σ = 35094124120. Its totient is φ = 8891881920.

The previous prime is 17948430053. The next prime is 17948430089. The reversal of 17948430064 is 46003484971.

It is a super-3 number, since 3×179484300643 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 17948429996 and 17948430023.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5144022 + ... + 5147509.

It is an arithmetic number, because the mean of its divisors is an integer number (1754706206).

Almost surely, 217948430064 is an apocalyptic number.

It is an amenable number.

17948430064 is a deficient number, since it is larger than the sum of its proper divisors (17145694056).

17948430064 is a wasteful number, since it uses less digits than its factorization.

17948430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291648 (or 10291642 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 17948430064 in words is "seventeen billion, nine hundred forty-eight million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 16 109 218 436 872 1744 10291531 20583062 41166124 82332248 164664496 1121776879 2243553758 4487107516 8974215032 17948430064