Search a number
-
+
17946420320 = 255293867763
BaseRepresentation
bin10000101101101100…
…001010010001100000
31201022201100121112002
4100231230022101200
5243223240422240
612124450023132
71203505025063
oct205554122140
951281317462
1017946420320
11767a317234
12358a277aa8
1319000c0a2a
14c236808da
15700822d15
hex42db0a460

17946420320 has 48 divisors (see below), whose sum is σ = 43860443760. Its totient is φ = 6931029504.

The previous prime is 17946420313. The next prime is 17946420337. The reversal of 17946420320 is 2302464971.

It is a congruent number.

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, 1929242 + ... + 1938521.

It is an arithmetic number, because the mean of its divisors is an integer number (913759245).

Almost surely, 217946420320 is an apocalyptic number.

17946420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17946420320 is an abundant number, since it is smaller than the sum of its proper divisors (25914023440).

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

17946420320 is a wasteful number, since it uses less digits than its factorization.

17946420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867807 (or 3867799 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 17946420320 in words is "seventeen billion, nine hundred forty-six million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 3867763 7735526 15471052 19338815 30942104 38677630 61884208 77355260 112165127 123768416 154710520 224330254 309421040 448660508 560825635 618842080 897321016 1121651270 1794642032 2243302540 3589284064 4486605080 8973210160 17946420320