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70065340416 = 214331491063
BaseRepresentation
bin100000101000000111…
…0000100000000000000
320200211222022002002000
41001100032010000000
52121443211343131
652104303224000
75030166365331
oct1012016040000
9220758262060
1070065340416
1127795070315
12116b48a8000
1367b7b44316
143569584288
151c5121ace6
hex1050384000

70065340416 has 240 divisors, whose sum is σ = 209184528000. Its totient is φ = 23176544256.

The previous prime is 70065340391. The next prime is 70065340447. The reversal of 70065340416 is 61404356007.

It is a happy number.

It is a super-3 number, since 3×700653404163 (a number of 34 digits) contains 333 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 65912301 + ... + 65913363.

It is an arithmetic number, because the mean of its divisors is an integer number (871602200).

Almost surely, 270065340416 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 70065340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104592264000).

70065340416 is an abundant number, since it is smaller than the sum of its proper divisors (139119187584).

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

70065340416 is a wasteful number, since it uses less digits than its factorization.

70065340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 70065340416 in words is "seventy billion, sixty-five million, three hundred forty thousand, four hundred sixteen".