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46143666634164 = 22311349573232077
BaseRepresentation
bin10100111110111101010001…
…10110111011110110110100
320001101021212110120202110020
422133132220312323312310
522022004212124243124
6242050035141525140
712501525034563561
oct1237365066736664
9201337773522406
1046143666634164
1113780467941130
125212b507137b0
131c9943802a158
14b5751886d868
1555048174b379
hex29f7a8dbbdb4

46143666634164 has 24 divisors (see below), whose sum is σ = 117456605978208. Its totient is φ = 13982929283040.

The previous prime is 46143666634147. The next prime is 46143666634183.

46143666634164 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×461436666341642 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46143666634098 and 46143666634107.

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, 174786615907 + ... + 174786616170.

It is an arithmetic number, because the mean of its divisors is an integer number (4894025249092).

Almost surely, 246143666634164 is an apocalyptic number.

46143666634164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46143666634164 is an abundant number, since it is smaller than the sum of its proper divisors (71312939344044).

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

46143666634164 is a wasteful number, since it uses less digits than its factorization.

46143666634164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349573232095 (or 349573232093 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 60.

The spelling of 46143666634164 in words is "forty-six trillion, one hundred forty-three billion, six hundred sixty-six million, six hundred thirty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 349573232077 699146464154 1048719696231 1398292928308 2097439392462 3845305552847 4194878784924 7690611105694 11535916658541 15381222211388 23071833317082 46143666634164