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5506058257992 = 23322320631611689
BaseRepresentation
bin101000000011111101010…
…1001011000011001001000
3201111101002200000020021100
41100013322221120121020
51210202401403223432
615413240453141400
71105541153660325
oct120077251303110
921441080006240
105506058257992
111833119386946
1274b13b92a860
1330c2b0397b86
141506cd421b4c
159835a14907c
hex501faa58648

5506058257992 has 96 divisors (see below), whose sum is σ = 15568151788800. Its totient is φ = 1754702746368.

The previous prime is 5506058257963. The next prime is 5506058258069. The reversal of 5506058257992 is 2997528506055.

5506058257992 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 0 + 58 + 2 + 579 + 9 + 2 = 666.

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, 2610484 + ... + 4222172.

It is an arithmetic number, because the mean of its divisors is an integer number (162168247800).

Almost surely, 25506058257992 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 5506058257992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7784075894400).

5506058257992 is an abundant number, since it is smaller than the sum of its proper divisors (10062093530808).

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

5506058257992 is a wasteful number, since it uses less digits than its factorization.

5506058257992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613787 (or 1613780 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 5506058257992 in words is "five trillion, five hundred six billion, fifty-eight million, two hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2063 4126 6189 8252 12378 16504 18567 24756 37134 47449 49512 74268 94898 142347 148536 189796 284694 379592 427041 569388 854082 1138776 1611689 1708164 3223378 3416328 4835067 6446756 9670134 12893512 14505201 19340268 29010402 37068847 38680536 58020804 74137694 111206541 116041608 148275388 222413082 296550776 333619623 444826164 667239246 889652328 1334478492 2668956984 3324914407 6649828814 9974743221 13299657628 19949486442 26599315256 29924229663 39898972884 59848459326 76473031361 79797945768 119696918652 152946062722 229419094083 239393837304 305892125444 458838188166 611784250888 688257282249 917676376332 1376514564498 1835352752664 2753029128996 5506058257992