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47427290144 = 25134012709
BaseRepresentation
bin101100001010111000…
…110000010000100000
311112102021210222011122
4230022320300100200
51234112341241034
633442055231412
73266202212633
oct541270602040
9145367728148
1047427290144
1119128518063
129237378568
13461aa634c0
14241cb93c1a
151378aa562e
hexb0ae30420

47427290144 has 72 divisors (see below), whose sum is σ = 100948542660. Its totient is φ = 21804134400.

The previous prime is 47427290137. The next prime is 47427290147. The reversal of 47427290144 is 44109272474.

It can be written as a sum of positive squares in 6 ways, for example, as 36488640400 + 10938649744 = 191020^2 + 104588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 47427290095 and 47427290104.

It is not an unprimeable number, because it can be changed into a prime (47427290147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66892862 + ... + 66893570.

Almost surely, 247427290144 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 47427290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50474271330).

47427290144 is an abundant number, since it is smaller than the sum of its proper divisors (53521252516).

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

47427290144 is an equidigital number, since it uses as much as digits as its factorization.

47427290144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 47427290144 in words is "forty-seven billion, four hundred twenty-seven million, two hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 401 416 709 802 1418 1604 2836 3208 5213 5672 6416 9217 10426 11344 12832 18434 20852 22688 36868 41704 73736 83408 147472 160801 166816 284309 294944 321602 568618 643204 1137236 1286408 2090413 2274472 2572816 3696017 4180826 4548944 5145632 7392034 8361652 9097888 14784068 16723304 29568136 33446608 59136272 66893216 114007909 118272544 228015818 456031636 912063272 1482102817 1824126544 2964205634 3648253088 5928411268 11856822536 23713645072 47427290144