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20017010475 = 32527117116273
BaseRepresentation
bin10010101001000110…
…110101011100101011
31220200000112111020100
4102221012311130223
5311443323313400
613110134000443
71306016532060
oct225106653453
956600474210
1020017010475
118542098270
123a677a6123
131b700823c7
14d7c672c67
157c24cb100
hex4a91b572b

20017010475 has 144 divisors (see below), whose sum is σ = 45331812864. Its totient is φ = 8201088000.

The previous prime is 20017010437. The next prime is 20017010477. The reversal of 20017010475 is 57401071002.

20017010475 is a `hidden beast` number, since 20 + 0 + 170 + 1 + 0 + 475 = 666.

It is not a de Polignac number, because 20017010475 - 26 = 20017010411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20017010477) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1221939 + ... + 1238211.

It is an arithmetic number, because the mean of its divisors is an integer number (314804256).

Almost surely, 220017010475 is an apocalyptic number.

20017010475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20017010475 is an abundant number, since it is smaller than the sum of its proper divisors (25314802389).

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

20017010475 is a wasteful number, since it uses less digits than its factorization.

20017010475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16370 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 20017010475 its reverse (57401071002), we get a palindrome (77418081477).

The spelling of 20017010475 in words is "twenty billion, seventeen million, ten thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 71 75 77 99 105 165 175 213 225 231 275 315 355 385 495 497 525 639 693 781 825 1065 1155 1491 1575 1775 1925 2343 2475 2485 3195 3465 3905 4473 5325 5467 5775 7029 7455 11715 12425 15975 16273 16401 17325 19525 22365 27335 35145 37275 48819 49203 58575 81365 82005 111825 113911 136675 146457 175725 179003 244095 246015 341733 406825 410025 537009 569555 732285 895015 1025199 1155383 1220475 1230075 1253021 1611027 1708665 2685045 2847775 3466149 3661425 3759063 4475075 5125995 5776915 6265105 8055135 8087681 8543325 10398447 11277189 12709213 13425225 17330745 18795315 24263043 25629975 28884575 31325525 38127639 40275675 40438405 51992235 56385945 63546065 72789129 86653725 88964491 93976575 114382917 121315215 190638195 202192025 259961175 266893473 281929725 317730325 363945645 444822455 571914585 606576075 800680419 953190975 1334467365 1819728225 2224112275 2859572925 4003402095 6672336825 20017010475