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47991678336 = 273473183257
BaseRepresentation
bin101100101100100001…
…101110010110000000
311120212121210212020000
4230230201232112000
51241241332201321
634014100120000
73316164351360
oct545441562600
9146777725200
1047991678336
1119398062288
129374396000
1346aa970a04
142473b0a9a0
1513ad3db826
hexb2c86e580

47991678336 has 640 divisors, whose sum is σ = 171184527360. Its totient is φ = 13058703360.

The previous prime is 47991678331. The next prime is 47991678377. The reversal of 47991678336 is 63387619974.

47991678336 is a `hidden beast` number, since 479 + 91 + 6 + 78 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47991678331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186737920 + ... + 186738176.

It is an arithmetic number, because the mean of its divisors is an integer number (267475824).

Almost surely, 247991678336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47991678336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85592263680).

47991678336 is an abundant number, since it is smaller than the sum of its proper divisors (123192849024).

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

47991678336 is a wasteful number, since it uses less digits than its factorization.

47991678336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 47991678336 in words is "forty-seven billion, nine hundred ninety-one million, six hundred seventy-eight thousand, three hundred thirty-six".