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20657848284 = 2234293795801
BaseRepresentation
bin10011001111010011…
…011011111111011100
31222022200101102110000
4103033103123333130
5314301402121114
613253505214300
71330630545633
oct231723337734
958280342400
1020657848284
1188408a9197
124006331390
131c42a78c88
14ddd80a51a
1580d8b3e09
hex4cf4dbfdc

20657848284 has 120 divisors (see below), whose sum is σ = 56022951600. Its totient is φ = 6629817600.

The previous prime is 20657848271. The next prime is 20657848297. The reversal of 20657848284 is 48284875602.

20657848284 is a `hidden beast` number, since 2 + 0 + 6 + 578 + 48 + 28 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20657848271) and next prime (20657848297).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20657848284.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3558184 + ... + 3563984.

It is an arithmetic number, because the mean of its divisors is an integer number (466857930).

Almost surely, 220657848284 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 20657848284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28011475800).

20657848284 is an abundant number, since it is smaller than the sum of its proper divisors (35365103316).

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

20657848284 is a wasteful number, since it uses less digits than its factorization.

20657848284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 20657848284 in words is "twenty billion, six hundred fifty-seven million, eight hundred forty-eight thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 379 522 758 783 1044 1137 1516 1566 2274 2349 3132 3411 4548 4698 5801 6822 9396 10233 10991 11602 13644 17403 20466 21982 23204 30699 32973 34806 40932 43964 52209 61398 65946 69612 98919 104418 122796 131892 156627 168229 197838 208836 296757 313254 336458 395676 469881 504687 593514 626508 672916 890271 939762 1009374 1187028 1514061 1780542 1879524 2018748 2198579 3028122 3561084 4397158 4542183 6056244 6595737 8794316 9084366 13191474 13626549 18168732 19787211 26382948 27253098 39574422 54506196 59361633 63758791 79148844 118723266 127517582 178084899 191276373 237446532 255035164 356169798 382552746 573829119 712339596 765105492 1147658238 1721487357 2295316476 3442974714 5164462071 6885949428 10328924142 20657848284