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77016681 = 32721710273
BaseRepresentation
bin1001001011100…
…10111001101001
312100220212000200
410211302321221
5124204013211
611350422413
71623426300
oct445627151
9170825020
1077016681
113a523855
1221961a09
1312c57501
14a32b437
156b64b56
hex4972e69

77016681 has 36 divisors (see below), whose sum is σ = 137034612. Its totient is φ = 41416704.

The previous prime is 77016661. The next prime is 77016689. The reversal of 77016681 is 18661077.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 38378025 = 6216^2 + 6195^2 .

It is not a de Polignac number, because 77016681 - 25 = 77016649 is a prime.

It is a super-2 number, since 2×770166812 = 11863138304511522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77016689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2361 + ... + 12633.

It is an arithmetic number, because the mean of its divisors is an integer number (3806517).

Almost surely, 277016681 is an apocalyptic number.

It is an amenable number.

77016681 is a deficient number, since it is larger than the sum of its proper divisors (60017931).

77016681 is a wasteful number, since it uses less digits than its factorization.

77016681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10310 (or 10300 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77016681 is about 8775.9148241081. The cubic root of 77016681 is about 425.4628056467.

The spelling of 77016681 in words is "seventy-seven million, sixteen thousand, six hundred eighty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 10273 30819 71911 92457 174641 215733 503377 523923 647199 1222487 1510131 1571769 3667461 4530393 8557409 11002383 25672227 77016681