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77834978712 = 233243533471367
BaseRepresentation
bin100100001111101010…
…0111000010110011000
321102220110020121010100
41020133110320112120
52233401223304322
655431253415400
75423552255121
oct1103724702630
9242813217110
1077834978712
11300118a8597
121310293a560
13745572c62a
143aa5405048
1520583b0dac
hex121f538598

77834978712 has 192 divisors, whose sum is σ = 220569972480. Its totient is φ = 24773688576.

The previous prime is 77834978681. The next prime is 77834978743. The reversal of 77834978712 is 21787943877.

77834978712 is a `hidden beast` number, since 7 + 78 + 3 + 497 + 8 + 71 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (77834978681) and next prime (77834978743).

It is a super-2 number, since 2×778349787122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77834978712.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 56937853 + ... + 56939219.

It is an arithmetic number, because the mean of its divisors is an integer number (1148801940).

Almost surely, 277834978712 is an apocalyptic number.

77834978712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77834978712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110284986240).

77834978712 is an abundant number, since it is smaller than the sum of its proper divisors (142734993768).

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

77834978712 is a wasteful number, since it uses less digits than its factorization.

77834978712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1815 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 63.

The spelling of 77834978712 in words is "seventy-seven billion, eight hundred thirty-four million, nine hundred seventy-eight thousand, seven hundred twelve".