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20485497312 = 2532719751581
BaseRepresentation
bin10011000101000001…
…111110000111100000
31221212200002002100200
4103011001332013200
5313423241403222
613224431145200
71323435565650
oct230501760740
957780062320
1020485497312
118762590375
123b78675200
131c16152857
14dc4984360
157ed6bbeac
hex4c507e1e0

20485497312 has 144 divisors (see below), whose sum is σ = 66917122272. Its totient is φ = 5823175680.

The previous prime is 20485497299. The next prime is 20485497313. The reversal of 20485497312 is 21379458402.

20485497312 is a `hidden beast` number, since 20 + 4 + 8 + 549 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20485497313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371362 + ... + 422942.

It is an arithmetic number, because the mean of its divisors is an integer number (464702238).

Almost surely, 220485497312 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 20485497312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33458561136).

20485497312 is an abundant number, since it is smaller than the sum of its proper divisors (46431624960).

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

20485497312 is a wasteful number, since it uses less digits than its factorization.

20485497312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51801 (or 51790 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20485497312 in words is "twenty billion, four hundred eighty-five million, four hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 197 224 252 288 336 394 504 591 672 788 1008 1182 1379 1576 1773 2016 2364 2758 3152 3546 4137 4728 5516 6304 7092 8274 9456 11032 12411 14184 16548 18912 22064 24822 28368 33096 44128 49644 51581 56736 66192 99288 103162 132384 154743 198576 206324 309486 361067 397152 412648 464229 618972 722134 825296 928458 1083201 1237944 1444268 1650592 1856916 2166402 2475888 2888536 3249603 3713832 4332804 4951776 5777072 6499206 7427664 8665608 10161457 11554144 12998412 14855328 17331216 20322914 25996824 30484371 34662432 40645828 51993648 60968742 71130199 81291656 91453113 103987296 121937484 142260398 162583312 182906226 213390597 243874968 284520796 325166624 365812452 426781194 487749936 569041592 640171791 731624904 853562388 975499872 1138083184 1280343582 1463249808 1707124776 2276166368 2560687164 2926499616 3414249552 5121374328 6828499104 10242748656 20485497312