Search a number
-
+
20268028606896 = 2432731648618427
BaseRepresentation
bin1001001101111000001001…
…01001010011100110110000
32122202121022202120111002100
410212330010221103212300
510124032410310410041
6111035000453220400
74161213433420530
oct446740451234660
978677282514070
1020268028606896
116504693842504
1223340b5931700
13b403614ab055
14500d991c54c0
152523408096b6
hex126f04a539b0

20268028606896 has 120 divisors (see below), whose sum is σ = 66916665979904. Its totient is φ = 5604063200640.

The previous prime is 20268028606879. The next prime is 20268028606897. The reversal of 20268028606896 is 69860682086202.

20268028606896 is a `hidden beast` number, since 2 + 0 + 268 + 0 + 286 + 0 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×202680286068962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20268028606897) 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, 324277966 + ... + 324340461.

Almost surely, 220268028606896 is an apocalyptic number.

It is an amenable number.

20268028606896 is an abundant number, since it is smaller than the sum of its proper divisors (46648637373008).

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

20268028606896 is a wasteful number, since it uses less digits than its factorization.

20268028606896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648618479 (or 648618470 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 20268028606896 in words is "twenty trillion, two hundred sixty-eight billion, twenty-eight million, six hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 648618427 1297236854 1945855281 2594473708 3891710562 4540328989 5188947416 5837565843 7783421124 9080657978 10377894832 11675131686 13620986967 15566842248 18161315956 20107171237 23350263372 27241973934 31133684496 36322631912 40214342474 40862960901 46700526744 54483947868 60321513711 72645263824 80428684948 81725921802 93401053488 108967895736 120643027422 140750198659 160857369896 163451843604 180964541133 217935791472 241286054844 281500397318 321714739792 326903687208 361929082266 422250595977 482572109688 563000794636 653807374416 723858164532 844501191954 965144219376 1126001589272 1266751787931 1447716329064 1689002383908 2252003178544 2533503575862 2895432658128 3378004767816 5067007151724 6756009535632 10134014303448 20268028606896