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77253127445051 = 41101293557114311
BaseRepresentation
bin10001100100001011100101…
…001110000001101000111011
3101010112022211021112021101022
4101210023211032001220323
540111203401111220201
6432145332524413055
722162232341465505
oct2144134516015073
9333468737467338
1077253127445051
112268495a504448
1287b82100a718b
133414c283082cc
1415110dd9acd75
158de7e787941b
hex4642e5381a3b

77253127445051 has 32 divisors (see below), whose sum is σ = 80338332767616. Its totient is φ = 74233828480000.

The previous prime is 77253127445029. The next prime is 77253127445111. The reversal of 77253127445051 is 15054472135277.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-77253127445051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77253127444984 and 77253127445002.

It is not an unprimeable number, because it can be changed into a prime (77253127445551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675758186 + ... + 675872496.

It is an arithmetic number, because the mean of its divisors is an integer number (2510572898988).

Almost surely, 277253127445051 is an apocalyptic number.

77253127445051 is a deficient number, since it is larger than the sum of its proper divisors (3085205322565).

77253127445051 is a wasteful number, since it uses less digits than its factorization.

77253127445051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115303.

The product of its (nonzero) digits is 8232000, while the sum is 53.

The spelling of 77253127445051 in words is "seventy-seven trillion, two hundred fifty-three billion, one hundred twenty-seven million, four hundred forty-five thousand, fifty-one".

Divisors: 1 41 101 293 557 4141 12013 22837 29593 56257 114311 163201 1213313 2306537 4686751 6691241 11545411 16483301 33493123 63671227 473361851 675815341 1373218043 2610520307 3382805423 6430793927 18655669511 138695022343 263662551007 764882449951 1884222620611 77253127445051