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47468187648 = 212377757
BaseRepresentation
bin101100001101010100…
…110001000000000000
311112112010202210000000
4230031110301000000
51234203324001043
633450120000000
73300206636430
oct541524610000
9145463683000
1047468187648
1119149610a52
129249000000
1346263826cb
14242439c2c0
15137c4832d3
hexb0d531000

47468187648 has 416 divisors, whose sum is σ = 162918334720. Its totient is φ = 13544423424.

The previous prime is 47468187631. The next prime is 47468187659. The reversal of 47468187648 is 84678186474.

47468187648 is a `hidden beast` number, since 474 + 6 + 81 + 87 + 6 + 4 + 8 = 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 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 31 ways as a sum of consecutive naturals, for example, 62705286 + ... + 62706042.

Almost surely, 247468187648 is an apocalyptic number.

47468187648 is a gapful number since it is divisible by the number (48) 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 47468187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81459167360).

47468187648 is an abundant number, since it is smaller than the sum of its proper divisors (115450147072).

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

47468187648 is an frugal number, since it uses more digits than its factorization.

47468187648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 769 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 47468187648 in words is "forty-seven billion, four hundred sixty-eight million, one hundred eighty-seven thousand, six hundred forty-eight".