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46465321331646 = 235713658236723
BaseRepresentation
bin10101001000010100011001…
…11110001110101110111110
320002112001010010122101200000
422210022030332032232332
522042241434230103041
6242453512434215130
712534002656444110
oct1244121476165676
9202461103571600
1046465321331646
11138949175a8128
12526535a1244a6
131cc08792aaa09
14b68d0d9493b0
15558a0a07bbb6
hex2a428cf8ebbe

46465321331646 has 48 divisors (see below), whose sum is σ = 119318356020864. Its totient is φ = 13275806093784.

The previous prime is 46465321331641. The next prime is 46465321331647. The reversal of 46465321331646 is 64613312356464.

46465321331646 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 532 + 13 + 31 + 64 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 46465321331592 and 46465321331601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46465321331641) 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, 6829114960 + ... + 6829121763.

It is an arithmetic number, because the mean of its divisors is an integer number (2485799083768).

Almost surely, 246465321331646 is an apocalyptic number.

46465321331646 is an abundant number, since it is smaller than the sum of its proper divisors (72853034689218).

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

46465321331646 is a wasteful number, since it uses less digits than its factorization.

46465321331646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13658236747 (or 13658236735 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 46465321331646 in words is "forty-six trillion, four hundred sixty-five billion, three hundred twenty-one million, three hundred thirty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 13658236723 27316473446 40974710169 81949420338 95607657061 122924130507 191215314122 245848261014 286822971183 368772391521 573645942366 737544783042 860468913549 1106317174563 1720937827098 2212634349126 2581406740647 3318951523689 5162813481294 6637903047378 7744220221941 15488440443882 23232660665823 46465321331646