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47263993920 = 263251121310433
BaseRepresentation
bin101100000001001001…
…110101000001000000
311111222220112122212100
4230001021311001000
51233244040301140
633413543230400
73262150214433
oct540111650100
9144886478770
1047263993920
1119054324200
1291b0748400
1345c2c8a610
14240520781a
15136959b530
hexb01275040

47263993920 has 504 divisors, whose sum is σ = 192454837848. Its totient is φ = 10575544320.

The previous prime is 47263993919. The next prime is 47263993967. The reversal of 47263993920 is 2939936274.

47263993920 is a `hidden beast` number, since 472 + 63 + 9 + 93 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1874543616 + 45389450304 = 43296^2 + 213048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4525024 + ... + 4535456.

It is an arithmetic number, because the mean of its divisors is an integer number (381854837).

Almost surely, 247263993920 is an apocalyptic number.

47263993920 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 47263993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96227418924).

47263993920 is an abundant number, since it is smaller than the sum of its proper divisors (145190843928).

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

47263993920 is a wasteful number, since it uses less digits than its factorization.

47263993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 47263993920 in words is "forty-seven billion, two hundred sixty-three million, nine hundred ninety-three thousand, nine hundred twenty".