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76956065967 = 3113805361283
BaseRepresentation
bin100011110101011110…
…0000110000010101111
321100122012102012111110
41013222330012002233
52230101223102332
655204135323103
75363020524234
oct1075274060257
9240565365443
1076956065967
112a700769420
1212ab8520493
13734560a211
143a207b778b
15200614c4cc
hex11eaf060af

76956065967 has 16 divisors (see below), whose sum is σ = 111940864128. Its totient is φ = 46638053280.

The previous prime is 76956065957. The next prime is 76956065969.

76956065967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76956065967 - 26 = 76956065903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76956065898 and 76956065907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76956065969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225108 + ... + 1286390.

It is an arithmetic number, because the mean of its divisors is an integer number (6996304008).

Almost surely, 276956065967 is an apocalyptic number.

76956065967 is a deficient number, since it is larger than the sum of its proper divisors (34984798161).

76956065967 is a wasteful number, since it uses less digits than its factorization.

76956065967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99350.

The product of its (nonzero) digits is 128595600, while the sum is 66.

The spelling of 76956065967 in words is "seventy-six billion, nine hundred fifty-six million, sixty-five thousand, nine hundred sixty-seven".

Divisors: 1 3 11 33 38053 61283 114159 183849 418583 674113 1255749 2022339 2332001999 6996005997 25652021989 76956065967