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46627483140 = 22345719379571
BaseRepresentation
bin101011011011001101…
…101110111000000100
311110100112211120020000
4223123031232320010
51230443113430030
633230444441300
73240321032040
oct533315567004
9143315746200
1046627483140
1118857aa9237
129053549230
13452114a414
142384879020
15132d76a860
hexadb36ee04

46627483140 has 480 divisors, whose sum is σ = 176739763200. Its totient is φ = 10052501760.

The previous prime is 46627483127. The next prime is 46627483181. The reversal of 46627483140 is 4138472664.

46627483140 is a `hidden beast` number, since 4 + 6 + 6 + 27 + 483 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 81659055 + ... + 81659625.

It is an arithmetic number, because the mean of its divisors is an integer number (368207840).

Almost surely, 246627483140 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 46627483140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88369881600).

46627483140 is an abundant number, since it is smaller than the sum of its proper divisors (130112280060).

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

46627483140 is a wasteful number, since it uses less digits than its factorization.

46627483140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 46627483140 in words is "forty-six billion, six hundred twenty-seven million, four hundred eighty-three thousand, one hundred forty".