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55404642221046 = 23217299613649483
BaseRepresentation
bin11001001100011111001100…
…00001001011101111110110
321021011122001210000000122200
430212033212001023233312
524230222201402033141
6313500312525005330
714445565453335366
oct1446174601135766
9237148053000580
1055404642221046
1116720a82157368
12626995a6b3846
1324bb834b06321
14d978558c09a6
156613065acab6
hex3263e604bbf6

55404642221046 has 96 divisors (see below), whose sum is σ = 131501571046560. Its totient is φ = 16780702804992.

The previous prime is 55404642221009. The next prime is 55404642221069. The reversal of 55404642221046 is 64012224640455.

55404642221046 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 4 + 6 + 422 + 210 + 4 + 6 = 666.

It is a super-2 number, since 2×554046422210462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55404642220992 and 55404642221010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84981021 + ... + 85630503.

It is an arithmetic number, because the mean of its divisors is an integer number (1369808031735).

Almost surely, 255404642221046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55404642221046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65750785523280).

55404642221046 is an abundant number, since it is smaller than the sum of its proper divisors (76096928825514).

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

55404642221046 is a wasteful number, since it uses less digits than its factorization.

55404642221046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659150 (or 659147 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 55404642221046 in words is "fifty-five trillion, four hundred four billion, six hundred forty-two million, two hundred twenty-one thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 9613 19226 28839 57678 86517 163421 173034 278777 326842 490263 557554 649483 836331 980526 1298966 1470789 1672662 1948449 2508993 2941578 3896898 4739209 5017986 5845347 9478418 11041211 11690694 14217627 18835007 22082422 28435254 33123633 37670014 42652881 56505021 66247266 85305762 99370899 113010042 169515063 198741798 320195119 339030126 640390238 960585357 1921170714 2881756071 5763512142 6243480079 12486960158 18730440237 37460880474 56191320711 106139161343 112382641422 181060922291 212278322686 318417484029 362121844582 543182766873 636834968058 955252452087 1086365533746 1629548300619 1910504904174 3078035678947 3259096601238 6156071357894 9234107036841 18468214073682 27702321110523 55404642221046