Search a number
-
+
2266442242656 = 253192354024653
BaseRepresentation
bin100000111110110010011…
…111000001101001100000
322000200002020221011202120
4200332302133001221200
5244113133203231111
64453104510544240
7322513360125234
oct40766237015140
98020066834676
102266442242656
117a4213618329
12307302b08080
13135955bbb317
147b9a6c725c4
153de4e547406
hex20fb27c1a60

2266442242656 has 96 divisors (see below), whose sum is σ = 6534822147840. Its totient is φ = 684600390144.

The previous prime is 2266442242621. The next prime is 2266442242663. The reversal of 2266442242656 is 6562422446622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22664422426563 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2266442242599 and 2266442242608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26970375 + ... + 27054278.

It is an arithmetic number, because the mean of its divisors is an integer number (68071064040).

Almost surely, 22266442242656 is an apocalyptic number.

It is an amenable number.

2266442242656 is an abundant number, since it is smaller than the sum of its proper divisors (4268379905184).

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

2266442242656 is a wasteful number, since it uses less digits than its factorization.

2266442242656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54024708 (or 54024700 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 51.

The spelling of 2266442242656 in words is "two trillion, two hundred sixty-six billion, four hundred forty-two million, two hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 10488 13984 20976 41952 54024653 108049306 162073959 216098612 324147918 432197224 648295836 864394448 1026468407 1242567019 1296591672 1728788896 2052936814 2485134038 2593183344 3079405221 3727701057 4105873628 4970268076 5186366688 6158810442 7455402114 8211747256 9940536152 12317620884 14910804228 16423494512 19881072304 23608773361 24635241768 29821608456 32846989024 39762144608 47217546722 49270483536 59643216912 70826320083 94435093444 98540967072 119286433824 141652640166 188870186888 283305280332 377740373776 566610560664 755480747552 1133221121328 2266442242656