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47297986560 = 21738511
BaseRepresentation
bin101100000011001011…
…100000000000000000
311112002021111200000000
4230003023200000000
51233331241032220
633421200000000
73263042152356
oct540313400000
9145067450000
1047297986560
11190715313a0
129200000000
1345ca02c9c6
1424099357d6
15136c563390
hexb032e0000

47297986560 has 648 divisors, whose sum is σ = 185741946936. Its totient is φ = 11466178560.

The previous prime is 47297986543. The next prime is 47297986649. The reversal of 47297986560 is 6568979274.

47297986560 is a `hidden beast` number, since 47 + 29 + 7 + 9 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4299816955 + ... + 4299816965.

It is an arithmetic number, because the mean of its divisors is an integer number (286638807).

Almost surely, 247297986560 is an apocalyptic number.

47297986560 is a gapful number since it is divisible by the number (40) 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 47297986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92870973468).

47297986560 is an abundant number, since it is smaller than the sum of its proper divisors (138443960376).

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

47297986560 is an frugal number, since it uses more digits than its factorization.

47297986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 47297986560 in words is "forty-seven billion, two hundred ninety-seven million, nine hundred eighty-six thousand, five hundred sixty".