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46639811328 = 28311192231303
BaseRepresentation
bin101011011011111100…
…110000101100000000
311110101102000220022120
4223123330300230000
51231004242430303
633232005004240
73240530566215
oct533374605400
9143342026276
1046639811328
1118863a59620
1290576b3680
1345238758c6
142386367b0c
15132e8a3553
hexadbf30b00

46639811328 has 288 divisors, whose sum is σ = 143290613760. Its totient is φ = 13319147520.

The previous prime is 46639811311. The next prime is 46639811399. The reversal of 46639811328 is 82311893664.

It is a super-2 number, since 2×466398113282 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 35793525 + ... + 35794827.

Almost surely, 246639811328 is an apocalyptic number.

46639811328 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 46639811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71645306880).

46639811328 is an abundant number, since it is smaller than the sum of its proper divisors (96650802432).

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

46639811328 is a wasteful number, since it uses less digits than its factorization.

46639811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1561 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 46639811328 in words is "forty-six billion, six hundred thirty-nine million, eight hundred eleven thousand, three hundred twenty-eight".