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20317354080 = 2535103940739
BaseRepresentation
bin10010111011000000…
…100011100001100000
31221102221200112012120
4102323000203201200
5313102220312310
613200023224240
71316324442312
oct227300434140
957387615176
1020317354080
118686686921
123b302a8080
131bba37070a
14daa4d57b2
157dda56b70
hex4bb023860

20317354080 has 96 divisors (see below), whose sum is σ = 64062835200. Its totient is φ = 5412613632.

The previous prime is 20317354073. The next prime is 20317354081. The reversal of 20317354080 is 8045371302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20317354081) 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 15 ways as a sum of consecutive naturals, for example, 478351 + ... + 519089.

It is an arithmetic number, because the mean of its divisors is an integer number (667321200).

Almost surely, 220317354080 is an apocalyptic number.

20317354080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20317354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32031417600).

20317354080 is an abundant number, since it is smaller than the sum of its proper divisors (43745481120).

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

20317354080 is a wasteful number, since it uses less digits than its factorization.

20317354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41796 (or 41788 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 20317354080 in words is "twenty billion, three hundred seventeen million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1039 2078 3117 4156 5195 6234 8312 10390 12468 15585 16624 20780 24936 31170 33248 40739 41560 49872 62340 81478 83120 99744 122217 124680 162956 166240 203695 244434 249360 325912 407390 488868 498720 611085 651824 814780 977736 1222170 1303648 1629560 1955472 2444340 3259120 3910944 4888680 6518240 9777360 19554720 42327821 84655642 126983463 169311284 211639105 253966926 338622568 423278210 507933852 634917315 677245136 846556420 1015867704 1269834630 1354490272 1693112840 2031735408 2539669260 3386225680 4063470816 5079338520 6772451360 10158677040 20317354080