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20528986221 = 3319415971233
BaseRepresentation
bin10011000111100111…
…110111100001101101
31221222200220112221000
4103013213313201231
5314020410024341
613233023230513
71324504334532
oct230747674155
957880815830
1020528986221
118785094217
123b8b148439
131c2216b433
14dca664d89
1580240c8b6
hex4c79f786d

20528986221 has 128 divisors (see below), whose sum is σ = 33965568000. Its totient is φ = 12207283200.

The previous prime is 20528986199. The next prime is 20528986223. The reversal of 20528986221 is 12268982502.

20528986221 is a `hidden beast` number, since 20 + 528 + 9 + 86 + 2 + 21 = 666.

It is not a de Polignac number, because 20528986221 - 211 = 20528984173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20528986223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 88107121 + ... + 88107353.

It is an arithmetic number, because the mean of its divisors is an integer number (265356000).

Almost surely, 220528986221 is an apocalyptic number.

It is an amenable number.

20528986221 is a deficient number, since it is larger than the sum of its proper divisors (13436581779).

20528986221 is a wasteful number, since it uses less digits than its factorization.

20528986221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 20528986221 in words is "twenty billion, five hundred twenty-eight million, nine hundred eighty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 19 27 41 57 59 71 123 171 177 213 233 369 513 531 639 699 779 1107 1121 1349 1593 1917 2097 2337 2419 2911 3363 4047 4189 4427 6291 7011 7257 8733 9553 10089 12141 12567 13281 13747 16543 21033 21771 26199 28659 30267 36423 37701 39843 41241 45961 49629 55309 65313 78597 79591 85977 113103 119529 123723 137883 148887 165927 171749 181507 238773 257931 261193 314317 371169 413649 446661 497781 515247 544521 563627 678263 716319 783579 942951 976037 1240947 1493343 1545741 1633563 1690881 2034789 2148957 2350737 2828853 2928111 3263231 4637223 4900689 5072643 6104367 7052211 8486559 8784333 9789693 10708913 12886997 15217929 18313101 18544703 26352999 29369079 32126739 38660991 40017517 55634109 88107237 96380217 115982973 120052551 166902327 289140651 347948919 360157653 500706981 760332823 1080472959 2280998469 6842995407 20528986221