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47840770152 = 23347497317
BaseRepresentation
bin101100100011100010…
…000011100001101000
311120111002211221010000
4230203202003201220
51240434214121102
633551105423000
73312352560000
oct544342034150
9146432757100
1047840770152
111931a95a77a
12933193aa60
134685614626
14245ba67000
1513a002d01c
hexb23883868

47840770152 has 400 divisors, whose sum is σ = 158432010660. Its totient is φ = 13485201408.

The previous prime is 47840770139. The next prime is 47840770157. The reversal of 47840770152 is 25107704874.

It can be written as a sum of positive squares in 2 ways, for example, as 43695213156 + 4145556996 = 209034^2 + 64386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47840770098 and 47840770107.

It is not an unprimeable number, because it can be changed into a prime (47840770157) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 150917098 + ... + 150917414.

Almost surely, 247840770152 is an apocalyptic number.

47840770152 is a gapful number since it is divisible by the number (42) 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 47840770152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79216005330).

47840770152 is an abundant number, since it is smaller than the sum of its proper divisors (110591240508).

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

47840770152 is an equidigital number, since it uses as much as digits as its factorization.

47840770152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 47840770152 in words is "forty-seven billion, eight hundred forty million, seven hundred seventy thousand, one hundred fifty-two".