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77059127916 = 223273259111317
BaseRepresentation
bin100011111000100010…
…1001111101001101100
321100220101100021220200
41013301011033221230
52230304114043131
655222300313500
75365411531341
oct1076105175154
9240811307820
1077059127916
112a753961391
1212b26b42890
137360a83614
143a303647c8
1520102092e6
hex11f114fa6c

77059127916 has 72 divisors (see below), whose sum is σ = 197550347904. Its totient is φ = 25322492160.

The previous prime is 77059127897. The next prime is 77059127933. The reversal of 77059127916 is 61972195077.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6803490 + ... + 6814806.

It is an arithmetic number, because the mean of its divisors is an integer number (2743754832).

Almost surely, 277059127916 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 77059127916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98775173952).

77059127916 is an abundant number, since it is smaller than the sum of its proper divisors (120491219988).

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

77059127916 is a wasteful number, since it uses less digits than its factorization.

77059127916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13991 (or 13986 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 54.

The spelling of 77059127916 in words is "seventy-seven billion, fifty-nine million, one hundred twenty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2591 2628 5182 7773 10364 11317 15546 22634 23319 31092 33951 45268 46638 67902 93276 101853 135804 189143 203706 378286 407412 567429 756572 826141 1134858 1652282 1702287 2269716 2478423 3304564 3404574 4956846 6809148 7435269 9913692 14870538 29322347 29741076 58644694 87967041 117289388 175934082 263901123 351868164 527802246 1055604492 2140531331 4281062662 6421593993 8562125324 12843187986 19264781979 25686375972 38529563958 77059127916