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46166866866164 = 22119191141726849
BaseRepresentation
bin10100111111101000011111…
…01100110010111111110100
320001110111202022220122201002
422133310033230302333310
522022344220404204124
6242104433231222432
712503305666365122
oct1237641754627764
9201414668818632
1046166866866164
111378a292861890
125217546377a18
131c9b694725095
14b586b9ba0912
15550d8d40e0ae
hex29fd0fb32ff4

46166866866164 has 24 divisors (see below), whose sum is σ = 88232650968000. Its totient is φ = 20962104929280.

The previous prime is 46166866866143. The next prime is 46166866866181.

46166866866164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461668668661642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46166866866091 and 46166866866100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570822989 + ... + 570903860.

It is an arithmetic number, because the mean of its divisors is an integer number (3676360457000).

Almost surely, 246166866866164 is an apocalyptic number.

46166866866164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46166866866164 is a deficient number, since it is larger than the sum of its proper divisors (42065784101836).

46166866866164 is a wasteful number, since it uses less digits than its factorization.

46166866866164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141727783 (or 1141727781 counting only the distinct ones).

The product of its digits is 1719926784, while the sum is 74.

The spelling of 46166866866164 in words is "forty-six trillion, one hundred sixty-six billion, eight hundred sixty-six million, eight hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 919 1838 3676 10109 20218 40436 1141726849 2283453698 4566907396 12558995339 25117990678 50235981356 1049246974231 2098493948462 4196987896924 11541716716541 23083433433082 46166866866164