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47159470080 = 21134556857
BaseRepresentation
bin101011111010111011…
…000110100000000000
311111201121212022010000
4223322323012200000
51233040311020310
633355331040000
73256440611262
oct537273064000
9144647768100
1047159470080
1119000322968
129181740000
1345a74219a8
1423d5399b32
1513603014c0
hexafaec6800

47159470080 has 240 divisors, whose sum is σ = 169037128260. Its totient is φ = 12575637504.

The previous prime is 47159470069. The next prime is 47159470093. The reversal of 47159470080 is 8007495174.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46531666944 + 627803136 = 215712^2 + 25056^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801012 + ... + 857868.

Almost surely, 247159470080 is an apocalyptic number.

47159470080 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 47159470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84518564130).

47159470080 is an abundant number, since it is smaller than the sum of its proper divisors (121877658180).

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

47159470080 is an equidigital number, since it uses as much as digits as its factorization.

47159470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56896 (or 56867 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47159470080 in words is "forty-seven billion, one hundred fifty-nine million, four hundred seventy thousand, eighty".