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70725352000 = 265337613917
BaseRepresentation
bin100000111011110001…
…1110011101001000000
320202112222020010202111
41001313203303221000
52124321142231000
652254001425104
75052432400342
oct1016743635100
9222488203674
1070725352000
1127aa3687836
121185993b194
1368917c2214
1435cd0ad292
151c8e13ecba
hex10778f3a40

70725352000 has 224 divisors, whose sum is σ = 182880768096. Its totient is φ = 27067392000.

The previous prime is 70725351943. The next prime is 70725352007. The reversal of 70725352000 is 25352707.

It can be written as a sum of positive squares in 16 ways, for example, as 43784725504 + 26940626496 = 209248^2 + 164136^2 .

It is not an unprimeable number, because it can be changed into a prime (70725352007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18054042 + ... + 18057958.

Almost surely, 270725352000 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 70725352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440384048).

70725352000 is an abundant number, since it is smaller than the sum of its proper divisors (112155416096).

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

70725352000 is a wasteful number, since it uses less digits than its factorization.

70725352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 31.

The spelling of 70725352000 in words is "seventy billion, seven hundred twenty-five million, three hundred fifty-two thousand".