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76710502016 = 271494022153
BaseRepresentation
bin100011101110001001…
…1010101111010000000
321100000002100021002022
41013130103111322000
52224100342031031
655123524141012
75353646336321
oct1073423257200
9240002307068
1076710502016
112a595095605
1212a4a237768
13730678b9c5
1439d9d34448
151ede7e297b
hex11dc4d5e80

76710502016 has 32 divisors (see below), whose sum is σ = 153847390500. Its totient is φ = 38097823744.

The previous prime is 76710502003. The next prime is 76710502031. The reversal of 76710502016 is 61020501767.

It can be written as a sum of positive squares in 2 ways, for example, as 76596097600 + 114404416 = 276760^2 + 10696^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×767105020163 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1992005 + ... + 2030148.

Almost surely, 276710502016 is an apocalyptic number.

It is an amenable number.

76710502016 is an abundant number, since it is smaller than the sum of its proper divisors (77136888484).

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

76710502016 is a wasteful number, since it uses less digits than its factorization.

76710502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022316 (or 4022304 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 76710502016 in words is "seventy-six billion, seven hundred ten million, five hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 19072 4022153 8044306 16088612 32177224 64354448 128708896 257417792 514835584 599300797 1198601594 2397203188 4794406376 9588812752 19177625504 38355251008 76710502016