Search a number
-
+
70520486400 = 2932527213312
BaseRepresentation
bin100000110101101011…
…0010011101000000000
320202000200201212222200
41001223112103220000
52123411221031100
652221402433200
75044364146500
oct1015326235000
9222020655880
1070520486400
11279a8a81221
1211801202800
13685b223380
1435adbc1a00
151c7b173e00
hex106b593a00

70520486400 has 1620 divisors, whose sum is σ = 326687727366. Its totient is φ = 14399078400.

The previous prime is 70520486389. The next prime is 70520486401. The reversal of 70520486400 is 468402507.

70520486400 is a `hidden beast` number, since 7 + 0 + 5 + 2 + 0 + 4 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 39165993216 + 31354493184 = 197904^2 + 177072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (70520486401) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 2274854385 + ... + 2274854415.

Almost surely, 270520486400 is an apocalyptic number.

70520486400 is a gapful number since it is divisible by the number (70) 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 70520486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163343863683).

70520486400 is an abundant number, since it is smaller than the sum of its proper divisors (256167240966).

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

70520486400 is a wasteful number, since it uses less digits than its factorization.

70520486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 70520486400 its reverse (468402507), we get a palindrome (70988888907).

The spelling of 70520486400 in words is "seventy billion, five hundred twenty million, four hundred eighty-six thousand, four hundred".