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47985837984 = 253272171391439
BaseRepresentation
bin101100101100001011…
…011100011110100000
311120212012211010202200
4230230023130132200
51241233333303414
634013331013200
73316063615200
oct545413343640
9146765733680
1047985837984
1119394833347
12937243a200
1346a96a7596
14247302a400
1513acb36109
hexb2c2dc7a0

47985837984 has 432 divisors, whose sum is σ = 169403270400. Its totient is φ = 12802019328.

The previous prime is 47985837937. The next prime is 47985837997. The reversal of 47985837984 is 48973858974.

47985837984 is a `hidden beast` number, since 47 + 98 + 58 + 379 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 33345937 + ... + 33347375.

It is an arithmetic number, because the mean of its divisors is an integer number (392137200).

Almost surely, 247985837984 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 47985837984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84701635200).

47985837984 is an abundant number, since it is smaller than the sum of its proper divisors (121417432416).

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

47985837984 is a wasteful number, since it uses less digits than its factorization.

47985837984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1607 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 47985837984 in words is "forty-seven billion, nine hundred eighty-five million, eight hundred thirty-seven thousand, nine hundred eighty-four".