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47218873968 = 24337831791051
BaseRepresentation
bin101011111110011101…
…101101011001110000
311111212202122022221000
4223332131231121300
51233201012431333
633405252202000
73261061543410
oct537635553160
9144782568830
1047218873968
1119030906992
129199609300
1345b6820516
1423dd220640
151365637713
hexafe76d670

47218873968 has 320 divisors, whose sum is σ = 157789900800. Its totient is φ = 13241491200.

The previous prime is 47218873943. The next prime is 47218873969. The reversal of 47218873968 is 86937881274.

47218873968 is a `hidden beast` number, since 472 + 1 + 8 + 8 + 73 + 96 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47218873969) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44927043 + ... + 44928093.

It is an arithmetic number, because the mean of its divisors is an integer number (493093440).

Almost surely, 247218873968 is an apocalyptic number.

47218873968 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 47218873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78894950400).

47218873968 is an abundant number, since it is smaller than the sum of its proper divisors (110571026832).

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

47218873968 is a wasteful number, since it uses less digits than its factorization.

47218873968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 47218873968 in words is "forty-seven billion, two hundred eighteen million, eight hundred seventy-three thousand, nine hundred sixty-eight".