Search a number
-
+
10020543454566 = 2338922346720021
BaseRepresentation
bin1001000111010001011011…
…1011101101110101100110
31022110221202220100212121000
42101310112323231311212
52303134033111021231
633151212450334130
72052650260001661
oct221642673556546
938427686325530
1010020543454566
1132137635aa547
12115a06b88a346
13578c192c12b8
14268dd567c6d8
151259cd75c6e6
hex91d16eedd66

10020543454566 has 128 divisors (see below), whose sum is σ = 22668620083200. Its totient is φ = 3280636719360.

The previous prime is 10020543454547. The next prime is 10020543454567. The reversal of 10020543454566 is 66545434502001.

10020543454566 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 0 + 5 + 4 + 34 + 54 + 566 = 666.

It is a super-2 number, since 2×100205434545662 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020543454567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500491636 + ... + 500511656.

It is an arithmetic number, because the mean of its divisors is an integer number (177098594400).

Almost surely, 210020543454566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020543454566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11334310041600).

10020543454566 is an abundant number, since it is smaller than the sum of its proper divisors (12648076628634).

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

10020543454566 is a wasteful number, since it uses less digits than its factorization.

10020543454566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20811 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

Adding to 10020543454566 its reverse (66545434502001), we get a palindrome (76565977956567).

The spelling of 10020543454566 in words is "ten trillion, twenty billion, five hundred forty-three million, four hundred fifty-four thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 89 178 223 267 446 467 534 669 801 934 1338 1401 1602 2007 2403 2802 4014 4203 4806 6021 8406 12042 12609 19847 20021 25218 39694 40042 41563 59541 60063 83126 104141 119082 120126 124689 178623 180189 208282 249378 312423 357246 360378 374067 535869 540567 624846 748134 937269 1071738 1081134 1122201 1781869 1874538 2244402 2811807 3563738 4464683 5345607 5623614 8929366 9268549 9349807 10691214 13394049 16036821 18537098 18699614 26788098 27805647 28049421 32073642 40182147 48110463 55611294 56098842 80364294 83416941 84148263 96220926 120546441 166833882 168296526 241092882 250250823 252444789 397356787 500501646 504889578 794713574 832132823 1192070361 1664265646 2085006961 2384140722 2496398469 3576211083 4170013922 4992796938 6255020883 7152422166 7489195407 10728633249 12510041766 14978390814 18765062649 21457266498 22467586221 37530125298 44935172442 56295187947 112590375894 185565619529 371131239058 556696858587 1113393717174 1670090575761 3340181151522 5010271727283 10020543454566