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20345949306 = 2334111937703
BaseRepresentation
bin10010111100101101…
…101000110001111010
31221111221111022111000
4102330231220301322
5313132030334211
613202524145430
71320122500314
oct227455506172
957457438430
1020345949306
1186a0837941
123b39998276
131bc3273177
14db021a7b4
157e1304656
hex4bcb68c7a

20345949306 has 64 divisors (see below), whose sum is σ = 46360823040. Its totient is φ = 6610164480.

The previous prime is 20345949269. The next prime is 20345949331. The reversal of 20345949306 is 60394954302.

20345949306 is a `hidden beast` number, since 20 + 3 + 4 + 594 + 9 + 30 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2637451 + ... + 2645153.

It is an arithmetic number, because the mean of its divisors is an integer number (724387860).

Almost surely, 220345949306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345949306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23180411520).

20345949306 is an abundant number, since it is smaller than the sum of its proper divisors (26014873734).

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

20345949306 is a wasteful number, since it uses less digits than its factorization.

20345949306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8942 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 20345949306 in words is "twenty billion, three hundred forty-five million, nine hundred forty-nine thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1107 1193 2214 2386 3579 7158 7703 10737 15406 21474 23109 32211 46218 48913 64422 69327 97826 138654 146739 207981 293478 315823 415962 440217 631646 880434 947469 1320651 1894938 2641302 2842407 5684814 8527221 9189679 17054442 18379358 27569037 55138074 82707111 165414222 248121333 376776839 496242666 753553678 1130330517 2260661034 3390991551 6781983102 10172974653 20345949306