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46540382112 = 2533717479631
BaseRepresentation
bin101011010110000001…
…011101111110100000
311110010110221101002000
4223112001131332200
51230303314211422
633214053524000
73235212502140
oct532601357640
9143113841060
1046540382112
1118812917a14
12902a343600
1345090a1b53
142377084920
151325cb2cac
hexad605dfa0

46540382112 has 384 divisors, whose sum is σ = 167772487680. Its totient is φ = 12247511040.

The previous prime is 46540382093. The next prime is 46540382149. The reversal of 46540382112 is 21128304564.

It is a happy number.

46540382112 is a `hidden beast` number, since 4 + 65 + 403 + 82 + 112 = 666.

46540382112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4827537 + ... + 4837167.

It is an arithmetic number, because the mean of its divisors is an integer number (436907520).

Almost surely, 246540382112 is an apocalyptic number.

46540382112 is a gapful number since it is divisible by the number (42) 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 46540382112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83886243840).

46540382112 is an abundant number, since it is smaller than the sum of its proper divisors (121232105568).

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

46540382112 is a wasteful number, since it uses less digits than its factorization.

46540382112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9721 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 46540382112 its reverse (21128304564), we get a palindrome (67668686676).

The spelling of 46540382112 in words is "forty-six billion, five hundred forty million, three hundred eighty-two thousand, one hundred twelve".