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70750568448 = 220347217
BaseRepresentation
bin100000111100100010…
…0000000000000000000
320202121201200021020000
41001321010000000000
52124344121142243
652300302120000
75053156623600
oct1017104000000
9222551607200
1070750568448
112800694027a
1211866280000
136896ab0ab1
1435d2594c00
151c914715d3
hex1079100000

70750568448 has 630 divisors, whose sum is σ = 260352908046. Its totient is φ = 19025362944.

The previous prime is 70750568407. The next prime is 70750568453. The reversal of 70750568448 is 84486505707.

70750568448 is a `hidden beast` number, since 7 + 0 + 75 + 0 + 568 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66588770304 + 4161798144 = 258048^2 + 64512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70750568394 and 70750568403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4161798136 + ... + 4161798152.

Almost surely, 270750568448 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 70750568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130176454023).

70750568448 is an abundant number, since it is smaller than the sum of its proper divisors (189602339598).

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

70750568448 is an frugal number, since it uses more digits than its factorization.

70750568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 70750568448 in words is "seventy billion, seven hundred fifty million, five hundred sixty-eight thousand, four hundred forty-eight".