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46132423164 = 22321281456199
BaseRepresentation
bin101010111101101101…
…001110100111111100
311102002001021220121100
4222331231032213330
51223434400020124
633105401533100
73222130061352
oct527555164774
9142061256540
1046132423164
1118623606363
128b357a4190
134472704a19
142338c0b7d2
15130007b1c9
hexabdb4e9fc

46132423164 has 18 divisors (see below), whose sum is σ = 116612514200. Its totient is φ = 15377474376.

The previous prime is 46132423159. The next prime is 46132423171.

46132423164 is a `hidden beast` number, since 4 + 613 + 2 + 4 + 2 + 31 + 6 + 4 = 666.

46132423164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1281456199 = 46132423164 / (4 + 6 + 1 + 3 + 2 + 4 + 2 + 3 + 1 + 6 + 4).

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

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 5 ways as a sum of consecutive naturals, for example, 640728064 + ... + 640728135.

Almost surely, 246132423164 is an apocalyptic number.

It is an amenable number.

46132423164 is an abundant number, since it is smaller than the sum of its proper divisors (70480091036).

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

46132423164 is a wasteful number, since it uses less digits than its factorization.

46132423164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281456209 (or 1281456204 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 46132423164 in words is "forty-six billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1281456199 2562912398 3844368597 5125824796 7688737194 11533105791 15377474388 23066211582 46132423164