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104544942490224 = 243223915427196907
BaseRepresentation
bin10111110001010101000100…
…001010010000001001110000
3111201011101202210102222221100
4113301111010022100021300
5102200331020234141344
61010203141125324400
731010060063660235
oct2761250412201160
9451141683388840
10104544942490224
1130347296611345
12b885615866700
1346447130b5c12
141bb600611378c
15c146c1c3b569
hex5f1544290270

104544942490224 has 120 divisors (see below), whose sum is σ = 293825361473280. Its totient is φ = 34700079625344.

The previous prime is 104544942490193. The next prime is 104544942490229. The reversal of 104544942490224 is 422094249445401.

104544942490224 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 44 + 94 + 2 + 490 + 2 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104544942490229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530837179 + ... + 531034085.

It is an arithmetic number, because the mean of its divisors is an integer number (2448544678944).

Almost surely, 2104544942490224 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 104544942490224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146912680736640).

104544942490224 is an abundant number, since it is smaller than the sum of its proper divisors (189280418983056).

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

104544942490224 is a wasteful number, since it uses less digits than its factorization.

104544942490224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212587 (or 212578 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 104544942490224 in words is "one hundred four trillion, five hundred forty-four billion, nine hundred forty-two million, four hundred ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 11472 15427 17208 30854 34416 46281 61708 92562 123416 138843 185124 196907 246832 277686 370248 393814 555372 590721 740496 787628 1110744 1181442 1575256 1772163 2221488 2362884 3150512 3544326 3687053 4725768 7088652 7374106 9451536 11061159 14177304 14748212 22122318 28354608 29496424 33183477 44244636 47060773 58992848 66366954 88489272 94121546 132733908 141182319 176978544 188243092 265467816 282364638 376486184 423546957 530935632 564729276 752972368 847093914 1129458552 1694187828 2258917104 3037684289 3388375656 6075368578 6776751312 9113052867 12150737156 18226105734 24301474312 27339158601 36452211468 48602948624 54678317202 72904422936 109356634404 145808845872 218713268808 437426537616 726006545071 1452013090142 2178019635213 2904026180284 4356039270426 5808052360568 6534058905639 8712078540852 11616104721136 13068117811278 17424157081704 26136235622556 34848314163408 52272471245112 104544942490224