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20413361655612 = 22326789317299977
BaseRepresentation
bin1001010010000110110110…
…01010111000111100111100
32200021111110021100022100100
410221003123022320330330
510133423031040434422
6111225434025001100
74204550063101032
oct451033312707474
980244407308310
1020413361655612
116560292530022
1223582b5623190
13b50c82bcb273
14508024c0c552
15255ee981d7ac
hex1290db2b8f3c

20413361655612 has 144 divisors (see below), whose sum is σ = 53126271787680. Its totient is φ = 6606652225536.

The previous prime is 20413361655581. The next prime is 20413361655671. The reversal of 20413361655612 is 21655616331402.

It is a happy number.

20413361655612 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 33 + 61 + 6 + 556 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67899768 + ... + 68199744.

It is an arithmetic number, because the mean of its divisors is an integer number (368932442970).

Almost surely, 220413361655612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413361655612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26563135893840).

20413361655612 is an abundant number, since it is smaller than the sum of its proper divisors (32712910132068).

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

20413361655612 is a wasteful number, since it uses less digits than its factorization.

20413361655612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300460 (or 300455 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 20413361655612 in words is "twenty trillion, four hundred thirteen billion, three hundred sixty-one million, six hundred fifty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 67 89 134 178 201 267 268 317 356 402 534 603 634 801 804 951 1068 1206 1268 1602 1902 2412 2853 3204 3804 5706 5963 11412 11926 17889 21239 23852 28213 35778 42478 53667 56426 63717 71556 84639 84956 107334 112852 127434 169278 191151 214668 253917 254868 299977 338556 382302 507834 599954 764604 899931 1015668 1199908 1799862 1890271 2699793 3599724 3780542 5399586 5670813 7561084 10799172 11341626 17012439 20098459 22683252 26697953 34024878 40196918 53395906 60295377 68049756 80093859 80393836 95092709 106791812 120590754 160187718 180886131 190185418 240281577 241181508 285278127 320375436 361772262 380370836 480563154 570556254 723544524 855834381 961126308 1141112508 1711668762 1788762851 3423337524 3577525702 5366288553 6371211503 7155051404 8463251101 10732577106 12742423006 16098865659 16926502202 19113634509 21465154212 25389753303 25484846012 32197731318 33853004404 38227269018 50779506606 57340903527 64395462636 76169259909 76454538036 101559013212 114681807054 152338519818 229363614108 304677039636 567037823767 1134075647534 1701113471301 2268151295068 3402226942602 5103340413903 6804453885204 10206680827806 20413361655612