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47464481064 = 233711137989281
BaseRepresentation
bin101100001101000110…
…101000000100101000
311112111212210110112010
4230031012220010220
51234201401343224
633445504315520
73300133301160
oct541506500450
9145455713463
1047464481064
111914750a160
129247912ba0
134625685570
142423ab55a0
15137be9ee29
hexb0d1a8128

47464481064 has 512 divisors, whose sum is σ = 163731456000. Its totient is φ = 11070259200.

The previous prime is 47464481041. The next prime is 47464481087. The reversal of 47464481064 is 46018446474.

It is an interprime number because it is at equal distance from previous prime (47464481041) and next prime (47464481087).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168912604 + ... + 168912884.

It is an arithmetic number, because the mean of its divisors is an integer number (319788000).

Almost surely, 247464481064 is an apocalyptic number.

47464481064 is a gapful number since it is divisible by the number (44) 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 47464481064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81865728000).

47464481064 is an abundant number, since it is smaller than the sum of its proper divisors (116266974936).

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

47464481064 is a wasteful number, since it uses less digits than its factorization.

47464481064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 47464481064 in words is "forty-seven billion, four hundred sixty-four million, four hundred eighty-one thousand, sixty-four".