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20419718780328 = 2337197616984493
BaseRepresentation
bin1001010010010010101100…
…00101011001010110101000
32200022002212022101201000220
410221021112011121112220
510134024041001432303
6111232404520130040
74205163444546240
oct451112605312650
980262768351026
1020419718780328
116562a54a019aa
12235958a606920
13b51756c7611a
14508469220b20
1525626c99b053
hex1292561595a8

20419718780328 has 64 divisors (see below), whose sum is σ = 58638206309760. Its totient is φ = 5804590100736.

The previous prime is 20419718780309. The next prime is 20419718780347. The reversal of 20419718780328 is 82308781791402.

It is an interprime number because it is at equal distance from previous prime (20419718780309) and next prime (20419718780347).

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 15 ways as a sum of consecutive naturals, for example, 308459151 + ... + 308525342.

It is an arithmetic number, because the mean of its divisors is an integer number (916221973590).

Almost surely, 220419718780328 is an apocalyptic number.

20419718780328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20419718780328 is an abundant number, since it is smaller than the sum of its proper divisors (38218487529432).

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

20419718780328 is a wasteful number, since it uses less digits than its factorization.

20419718780328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616984706 (or 616984702 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 20419718780328 in words is "twenty trillion, four hundred nineteen billion, seven hundred eighteen million, seven hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 788 1182 1379 1576 2364 2758 4137 4728 5516 8274 11032 16548 33096 616984493 1233968986 1850953479 2467937972 3701906958 4318891451 4935875944 7403813916 8637782902 12956674353 14807627832 17275565804 25913348706 34551131608 51826697412 103653394824 121545945121 243091890242 364637835363 486183780484 729275670726 850821615847 972367560968 1458551341452 1701643231694 2552464847541 2917102682904 3403286463388 5104929695082 6806572926776 10209859390164 20419718780328