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46166355366164 = 22116737974124369
BaseRepresentation
bin10100111111100111100010…
…01101100101000100010100
320001110110102200102202121122
422133303301031211010110
522022342143433204124
6242104310400103112
712503260215613355
oct1237636115450424
9201413380382548
1046166355366164
111378a050060310
125217423004a98
131c9b612774767
14b5866bc93d2c
15550d5d57375e
hex29fcf1365114

46166355366164 has 48 divisors (see below), whose sum is σ = 89474808669120. Its totient is φ = 20666053224960.

The previous prime is 46166355366151. The next prime is 46166355366283.

46166355366164 is nontrivially palindromic in base 10.

46166355366164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46166355366097 and 46166355366106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9131372 + ... + 13255740.

It is an arithmetic number, because the mean of its divisors is an integer number (1864058513940).

Almost surely, 246166355366164 is an apocalyptic number.

46166355366164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46166355366164 is a deficient number, since it is larger than the sum of its proper divisors (43308453302956).

46166355366164 is a wasteful number, since it uses less digits than its factorization.

46166355366164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128248 (or 4128246 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 62.

The spelling of 46166355366164 in words is "forty-six trillion, one hundred sixty-six billion, three hundred fifty-five million, three hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 67 134 268 737 1474 2948 3797 7594 15188 41767 83534 167068 254399 508798 1017596 2798389 4124369 5596778 8248738 11193556 16497476 45368059 90736118 181472236 276332723 552665446 1105330892 3039659953 6079319906 12158639812 15660229093 31320458186 62640916372 172262520023 344525040046 689050080092 1049235349231 2098470698462 4196941396924 11541588841541 23083177683082 46166355366164