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46671093216 = 253611315867
BaseRepresentation
bin101011011101110100…
…000101110111100000
311110110120220012000000
4223131310011313200
51231040244440331
633235043300000
73241360514106
oct533564056740
9143416805000
1046671093216
111887a685120
12906607a600
13452a1a91b7
14238a58bc76
1513324d20e6
hexaddd05de0

46671093216 has 336 divisors, whose sum is σ = 155160811008. Its totient is φ = 13684204800.

The previous prime is 46671093181. The next prime is 46671093233. The reversal of 46671093216 is 61239017664.

It is a super-2 number, since 2×466710932162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7951915 + ... + 7957781.

It is an arithmetic number, because the mean of its divisors is an integer number (461788128).

Almost surely, 246671093216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46671093216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77580405504).

46671093216 is an abundant number, since it is smaller than the sum of its proper divisors (108489717792).

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

46671093216 is a wasteful number, since it uses less digits than its factorization.

46671093216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5937 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 46671093216 in words is "forty-six billion, six hundred seventy-one million, ninety-three thousand, two hundred sixteen".