Search a number
-
+
70520237380224 = 27332931532411777
BaseRepresentation
bin10000000010001101000101…
…101100101101001010000000
3100020200200001121000220202000
4100002031011230231022000
533220400421232131344
6405552314432024000
720565630136301052
oct2002150554551200
9306620047026660
1070520237380224
11205195125a6945
127aab364992000
133047050773978
14135b2aa6c38d2
158245d7134a69
hex402345b2d280

70520237380224 has 1024 divisors, whose sum is σ = 227516179968000. Its totient is φ = 21448124006400.

The previous prime is 70520237380129. The next prime is 70520237380301. The reversal of 70520237380224 is 42208373202507.

70520237380224 is a `hidden beast` number, since 7 + 0 + 5 + 20 + 23 + 7 + 380 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 70520237380224.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39684994824 + ... + 39684996600.

It is an arithmetic number, because the mean of its divisors is an integer number (222183769500).

Almost surely, 270520237380224 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 70520237380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113758089984000).

70520237380224 is an abundant number, since it is smaller than the sum of its proper divisors (156995942587776).

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

70520237380224 is a wasteful number, since it uses less digits than its factorization.

70520237380224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 70520237380224 in words is "seventy trillion, five hundred twenty billion, two hundred thirty-seven million, three hundred eighty thousand, two hundred twenty-four".