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46094460048 = 243671343427
BaseRepresentation
bin101010111011011100…
…011010010010010000
311101222101212012000000
4222323130122102100
51223400140210143
633101524130000
73221156305620
oct527334322220
9141871765000
1046094460048
111860413708a
128b24b36900
1344678a2340
142333b68880
1512eba7cbd3
hexabb71a490

46094460048 has 280 divisors, whose sum is σ = 164804743488. Its totient is φ = 12156500736.

The previous prime is 46094460001. The next prime is 46094460067. The reversal of 46094460048 is 84006449064.

46094460048 is a `hidden beast` number, since 4 + 60 + 94 + 460 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46094459985 and 46094460012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1039711 + ... + 1083137.

Almost surely, 246094460048 is an apocalyptic number.

46094460048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46094460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82402371744).

46094460048 is an abundant number, since it is smaller than the sum of its proper divisors (118710283440).

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

46094460048 is a wasteful number, since it uses less digits than its factorization.

46094460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43473 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 46094460048 in words is "forty-six billion, ninety-four million, four hundred sixty thousand, forty-eight".