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20427000832 = 21072421967
BaseRepresentation
bin10011000001100010…
…110100110000000000
31221201121000011021101
4103001202310300000
5313313303011312
613214541304144
71322125433200
oct230142646000
957647004241
1020427000832
118732567077
123b60b65054
131c06cb1054
14dbacb8400
157e84b4a57
hex4c18b4c00

20427000832 has 132 divisors (see below), whose sum is σ = 47662904784. Its totient is φ = 8724602880.

The previous prime is 20427000829. The next prime is 20427000851. The reversal of 20427000832 is 23800072402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20427000832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21123613 + ... + 21124579.

It is an arithmetic number, because the mean of its divisors is an integer number (361082612).

Almost surely, 220427000832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20427000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831452392).

20427000832 is an abundant number, since it is smaller than the sum of its proper divisors (27235903952).

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

20427000832 is an equidigital number, since it uses as much as digits as its factorization.

20427000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 20427000832 in words is "twenty billion, four hundred twenty-seven million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 421 448 512 784 842 896 967 1024 1568 1684 1792 1934 2947 3136 3368 3584 3868 5894 6272 6736 6769 7168 7736 11788 12544 13472 13538 15472 20629 23576 25088 26944 27076 30944 41258 47152 47383 50176 53888 54152 61888 82516 94304 94766 107776 108304 123776 165032 188608 189532 215552 216608 247552 330064 377216 379064 407107 431104 433216 495104 660128 754432 758128 814214 866432 990208 1320256 1508864 1516256 1628428 1732864 2640512 2849749 3017728 3032512 3256856 3465728 5281024 5699498 6065024 6513712 6931456 10562048 11398996 12130048 13027424 19948243 21124096 22797992 24260096 26054848 39896486 45595984 48520192 52109696 79792972 91191968 104219392 159585944 182383936 208438784 319171888 364767872 416877568 638343776 729535744 1276687552 1459071488 2553375104 2918142976 5106750208 10213500416 20427000832