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77315423886 = 23441101311491
BaseRepresentation
bin100100000000001011…
…0111011111010001110
321101120020121110220000
41020000112323322032
52231320222031021
655303533505130
75404643155041
oct1100026737216
9241506543800
1077315423886
112a8755a5338
1212b989421a6
1373a1bbb93c
143a563dcc58
152027983b26
hex12005bbe8e

77315423886 has 80 divisors (see below), whose sum is σ = 177659930448. Its totient is φ = 25116220800.

The previous prime is 77315423881. The next prime is 77315423891. The reversal of 77315423886 is 68832451377.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77315423881) and next prime (77315423891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77315423881) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6722601 + ... + 6734091.

Almost surely, 277315423886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77315423886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88829965224).

77315423886 is an abundant number, since it is smaller than the sum of its proper divisors (100344506562).

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

77315423886 is a wasteful number, since it uses less digits than its factorization.

77315423886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12559 (or 12550 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 77315423886 in words is "seventy-seven billion, three hundred fifteen million, four hundred twenty-three thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1013 1107 2026 2214 3039 3321 6078 6642 9117 11491 18234 22982 27351 34473 41533 54702 68946 82053 83066 103419 124599 164106 206838 249198 310257 373797 471131 620514 747594 930771 942262 1121391 1413393 1861542 2242782 2826786 3364173 4240179 6728346 8480358 11640383 12720537 23280766 25441074 34921149 38161611 69842298 76323222 104763447 209526894 314290341 477255703 628580682 942871023 954511406 1431767109 1885742046 2863534218 4295301327 8590602654 12885903981 25771807962 38657711943 77315423886