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421471266476766 = 231122838272480501
BaseRepresentation
bin101111111010100110110110…
…1000111110001001011011110
32001021022021000020011112122220
41133311031231013301023132
5420220341123204224031
64052221120555450210
7154530202613453112
oct13765155507611336
92037267006145586
10421471266476766
11112325a62213800
123b32bb56456966
131512375408141c
147611464d9d742
1533ad67ca02596
hex17f536d1f12de

421471266476766 has 96 divisors (see below), whose sum is σ = 930938830061184. Its totient is φ = 127113321720000.

The previous prime is 421471266476759. The next prime is 421471266476779. The reversal of 421471266476766 is 667674662174124.

It is a self number, because there is not a number n which added to its sum of digits gives 421471266476766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168673516 + ... + 171154016.

It is an arithmetic number, because the mean of its divisors is an integer number (9697279479804).

Almost surely, 2421471266476766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421471266476766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465469415030592).

421471266476766 is an abundant number, since it is smaller than the sum of its proper divisors (509467563584418).

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

421471266476766 is a wasteful number, since it uses less digits than its factorization.

421471266476766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481638 (or 2481627 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 69.

The spelling of 421471266476766 in words is "four hundred twenty-one trillion, four hundred seventy-one billion, two hundred sixty-six million, four hundred seventy-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 283 363 566 726 827 849 1654 1698 2481 3113 4962 6226 9097 9339 18194 18678 27291 34243 54582 68486 100067 102729 200134 205458 234041 300201 468082 600402 702123 1404246 2480501 2574451 4961002 5148902 7441503 7723353 14883006 15446706 27285511 28318961 54571022 56637922 81856533 84956883 163713066 169913766 300140621 600281242 701981783 900421863 1403963566 1800843726 2051374327 2105945349 4102748654 4211890698 6154122981 7721799613 12308245962 15443599226 22565117597 23165398839 45130235194 46330797678 67695352791 84939795743 135390705582 169879591486 248216293567 254819387229 496432587134 509638774458 580538934541 744648880701 1161077869082 1489297761402 1741616803623 3483233607246 6385928279951 12771856559902 19157784839853 38315569679706 70245211079461 140490422158922 210735633238383 421471266476766