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47466778632 = 233721323612213
BaseRepresentation
bin101100001101001111…
…011001000000001000
311112112001010012012020
4230031033121000020
51234202443404012
633450025444440
73300161650500
oct541517310010
9145461105166
1047466778632
1119148839379
129248640720
134625cab280
142424112a00
15137c2a5a8c
hexb0d3d9008

47466778632 has 384 divisors, whose sum is σ = 157737404160. Its totient is φ = 11772794880.

The previous prime is 47466778613. The next prime is 47466778649. The reversal of 47466778632 is 23687766474.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21447958 + ... + 21450170.

It is an arithmetic number, because the mean of its divisors is an integer number (410774490).

Almost surely, 247466778632 is an apocalyptic number.

47466778632 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 47466778632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78868702080).

47466778632 is an abundant number, since it is smaller than the sum of its proper divisors (110270625528).

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

47466778632 is a wasteful number, since it uses less digits than its factorization.

47466778632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2322 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 60.

The spelling of 47466778632 in words is "forty-seven billion, four hundred sixty-six million, seven hundred seventy-eight thousand, six hundred thirty-two".