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46407482912 = 257317733407
BaseRepresentation
bin101011001110000110…
…011111111000100000
311102210012212101122102
4223032012133320200
51230020303423122
633152545225532
73232010045000
oct531606377040
9142705771572
1046407482912
11187548a586a
128bb19322a8
1344b76ac87b
14236356c000
1513192b0492
hexace19fe20

46407482912 has 192 divisors, whose sum is σ = 114394291200. Its totient is φ = 18457141248.

The previous prime is 46407482903. The next prime is 46407482917. The reversal of 46407482912 is 21928470464.

46407482912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (46407482917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13619513 + ... + 13622919.

It is an arithmetic number, because the mean of its divisors is an integer number (595803600).

Almost surely, 246407482912 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 46407482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57197145600).

46407482912 is an abundant number, since it is smaller than the sum of its proper divisors (67986808288).

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

46407482912 is a wasteful number, since it uses less digits than its factorization.

46407482912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 47.

The spelling of 46407482912 in words is "forty-six billion, four hundred seven million, four hundred eighty-two thousand, nine hundred twelve".