Search a number
-
+
205472433422751 = 311536779109203627
BaseRepresentation
bin101110101110000001000111…
…011001111100000110011111
3222221111222021011120200022120
4232232001013121330012133
5203412430020424012001
62005000422141514023
761164615306026415
oct5656010731740637
9887458234520276
10205472433422751
115a519408014860
121b065b26272913
138a85c762c7631
1438a4cc14252b5
1518b4c22244236
hexbae04767c19f

205472433422751 has 128 divisors (see below), whose sum is σ = 315837779558400. Its totient is φ = 117741309903360.

The previous prime is 205472433422749. The next prime is 205472433422783. The reversal of 205472433422751 is 157224334274502.

It is not a de Polignac number, because 205472433422751 - 21 = 205472433422749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205472433422694 and 205472433422703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205472433422051) 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, 1008961000 + ... + 1009164626.

It is an arithmetic number, because the mean of its divisors is an integer number (2467482652800).

Almost surely, 2205472433422751 is an apocalyptic number.

205472433422751 is a deficient number, since it is larger than the sum of its proper divisors (110365346135649).

205472433422751 is a wasteful number, since it uses less digits than its factorization.

205472433422751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203949.

The product of its (nonzero) digits is 11289600, while the sum is 51.

The spelling of 205472433422751 in words is "two hundred five trillion, four hundred seventy-two billion, four hundred thirty-three million, four hundred twenty-two thousand, seven hundred fifty-one".

Divisors: 1 3 11 33 53 67 79 109 159 201 237 327 583 737 869 1199 1749 2211 2607 3551 3597 4187 5293 5777 7303 8611 10653 12561 15879 17331 21909 25833 39061 46057 58223 63547 80333 94721 117183 138171 174669 190641 203627 240999 280529 284163 387059 456383 576937 610881 841587 1161177 1369149 1730811 2239897 3085819 4257649 5020213 6346307 6719691 9257457 10792231 12772947 13643009 15060639 16086533 19038921 22195343 30577661 32376693 40929027 48259599 66586029 91732983 118714541 150073099 176951863 244148773 336354271 356143623 450219297 530855589 723079477 732446319 852586249 1009062813 1077797711 1176353179 1487087981 1753432097 2169238431 2557758747 3233393133 3529059537 4461263943 5260296291 7953874247 9378448739 11855774821 12939884969 16357967791 19287753067 23861622741 28135346217 35567324463 38819654907 49073903373 57123278683 57863259201 78815662993 92931901141 117479950499 171369836049 236446988979 278795703423 352439851497 628356065513 866972292923 1022250912551 1292279455489 1885068196539 2600916878769 3066752737653 3876838366467 6226437376447 18679312129341 68490811140917 205472433422751