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47157731712 = 2733721331691
BaseRepresentation
bin101011111010110100…
…011110000110000000
311111201111120222112000
4223322310132012000
51233034334403322
633355225504000
73256420051200
oct537264360600
9144644528460
1047157731712
1118aaa3458a3
129181042000
1345a6c63680
1423d5066400
1513600ab3ac
hexafad1e180

47157731712 has 768 divisors, whose sum is σ = 180243302400. Its totient is φ = 12018585600.

The previous prime is 47157731707. The next prime is 47157731713. The reversal of 47157731712 is 21713775174.

47157731712 is a `hidden beast` number, since 4 + 7 + 1 + 577 + 3 + 1 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47157731713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68245287 + ... + 68245977.

It is an arithmetic number, because the mean of its divisors is an integer number (234691800).

Almost surely, 247157731712 is an apocalyptic number.

47157731712 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 47157731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90121651200).

47157731712 is an abundant number, since it is smaller than the sum of its proper divisors (133085570688).

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

47157731712 is a wasteful number, since it uses less digits than its factorization.

47157731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 747 counting only the distinct ones).

The product of its digits is 288120, while the sum is 45.

The spelling of 47157731712 in words is "forty-seven billion, one hundred fifty-seven million, seven hundred thirty-one thousand, seven hundred twelve".