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2533383226404 = 22326119744313219
BaseRepresentation
bin100100110111011001011…
…010000100010000100100
322222012002211111011201100
4210313121122010100210
5313001332101221104
65215453054400100
7351013412060202
oct44673132042044
98865084434640
102533383226404
11897446871398
1234aba0b00030
13154b87979344
148a88b5a0072
1545d7477c139
hex24dd9684424

2533383226404 has 144 divisors (see below), whose sum is σ = 6557113442880. Its totient is φ = 824473278720.

The previous prime is 2533383226397. The next prime is 2533383226433. The reversal of 2533383226404 is 4046223833352.

2533383226404 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 383 + 2 + 264 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2533383226404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191640507 + ... + 191653725.

It is an arithmetic number, because the mean of its divisors is an integer number (45535510020).

Almost surely, 22533383226404 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 2533383226404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278556721440).

2533383226404 is an abundant number, since it is smaller than the sum of its proper divisors (4023730216476).

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

2533383226404 is a wasteful number, since it uses less digits than its factorization.

2533383226404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 2533383226404 in words is "two trillion, five hundred thirty-three billion, three hundred eighty-three million, two hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 197 244 366 394 443 549 591 732 788 886 1098 1182 1329 1772 1773 2196 2364 2658 3546 3987 5316 7092 7974 12017 13219 15948 24034 26438 27023 36051 39657 48068 52876 54046 72102 79314 81069 87271 108092 108153 118971 144204 158628 162138 174542 216306 237942 243207 261813 324276 349084 432612 475884 486414 523626 785439 806359 972828 1047252 1570878 1612718 2419077 2604143 3141756 3225436 4838154 5208286 5323531 5856017 7257231 7812429 9676308 10416572 10647062 11712034 14514462 15624858 15970593 17568051 21294124 23424068 23437287 29028924 31249716 31941186 35136102 46874574 47911779 52704153 63882372 70272204 93749148 95823558 105408306 158852723 191647116 210816612 317705446 357217037 476558169 635410892 714434074 953116338 1071651111 1153635349 1428868148 1429674507 1906232676 2143302222 2307270698 2859349014 3214953333 3460906047 4286604444 4614541396 5718698028 6429906666 6921812094 10382718141 12859813332 13843624188 20765436282 41530872564 70371756289 140743512578 211115268867 281487025156 422230537734 633345806601 844461075468 1266691613202 2533383226404