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23323505323104 = 25327109106139441
BaseRepresentation
bin1010100110110011011010…
…01111111110110001100000
310001120201001012001221102100
411103121231033332301200
511024113014330314404
6121334400451250400
74625032130115210
oct523315517766140
9101521035057370
1023323505323104
117482496792178
1227483028a9a00
1310025215cb63c
145a8c13d24240
152a6a70613d39
hex15366d3fec60

23323505323104 has 144 divisors (see below), whose sum is σ = 76496818638240. Its totient is φ = 6602722283520.

The previous prime is 23323505323099. The next prime is 23323505323133. The reversal of 23323505323104 is 40132350532332.

23323505323104 is a `hidden beast` number, since 2 + 3 + 3 + 23 + 505 + 3 + 23 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52849977 + ... + 53289464.

It is an arithmetic number, because the mean of its divisors is an integer number (531227907210).

Almost surely, 223323505323104 is an apocalyptic number.

23323505323104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23323505323104 is an abundant number, since it is smaller than the sum of its proper divisors (53173313315136).

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

23323505323104 is a wasteful number, since it uses less digits than its factorization.

23323505323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106139573 (or 106139562 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 23323505323104 its reverse (40132350532332), we get a palindrome (63455855855436).

The spelling of 23323505323104 in words is "twenty-three trillion, three hundred twenty-three billion, five hundred five million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2616 3052 3488 3924 4578 5232 6104 6867 7848 9156 10464 12208 13734 15696 18312 24416 27468 31392 36624 54936 73248 109872 219744 106139441 212278882 318418323 424557764 636836646 742976087 849115528 955254969 1273673292 1485952174 1698231056 1910509938 2228928261 2547346584 2971904348 3396462112 3821019876 4457856522 5094693168 5943808696 6686784783 7642039752 8915713044 10189386336 11569199069 11887617392 13373569566 15284079504 17831426088 23138398138 23775234784 26747139132 30568159008 34707597207 35662852176 46276796276 53494278264 69415194414 71325704352 80984393483 92553592552 104122791621 106988556528 138830388828 161968786966 185107185104 208245583242 213977113056 242953180449 277660777656 323937573932 370214370208 416491166484 485906360898 555321555312 647875147864 728859541347 832982332968 971812721796 1110643110624 1295750295728 1457719082694 1665964665936 1943625443592 2591500591456 2915438165388 3331929331872 3887250887184 5830876330776 7774501774368 11661752661552 23323505323104