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46642403808 = 253272111329797
BaseRepresentation
bin101011011100000110…
…101001100111100000
311110101120220121112100
4223130012221213200
51231010423410213
633232140330400
73240561614400
oct533406514740
9143346817470
1046642403808
111886546a370
129058543a00
134524272910
142386840800
15132ec16773
hexadc1a99e0

46642403808 has 864 divisors, whose sum is σ = 187755291360. Its totient is φ = 10783825920.

The previous prime is 46642403791. The next prime is 46642403813. The reversal of 46642403808 is 80830424664.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 58522066 + ... + 58522862.

It is an arithmetic number, because the mean of its divisors is an integer number (217309365).

Almost surely, 246642403808 is an apocalyptic number.

46642403808 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 46642403808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93877645680).

46642403808 is an abundant number, since it is smaller than the sum of its proper divisors (141112887552).

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

46642403808 is a wasteful number, since it uses less digits than its factorization.

46642403808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46642403808 in words is "forty-six billion, six hundred forty-two million, four hundred three thousand, eight hundred eight".