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77922465992 = 23722326132
BaseRepresentation
bin100100010010010001…
…0100111100011001000
321110010112212102002222
41020210202213203020
52234041122402432
655444100513212
75425664014100
oct1104442474310
9243115772088
1077922465992
1130057223028
12131280ab808
13746a8b1957
143ab2c9a200
152060de3112
hex12248a78c8

77922465992 has 108 divisors (see below), whose sum is σ = 177959528145. Its totient is φ = 31891261248.

The previous prime is 77922465989. The next prime is 77922465997. The reversal of 77922465992 is 29956422977.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 43403055556 + 34519410436 = 208334^2 + 185794^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=197386.

It is not an unprimeable number, because it can be changed into a prime (77922465997) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127116278 + ... + 127116890.

Almost surely, 277922465992 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 77922465992

77922465992 is an abundant number, since it is smaller than the sum of its proper divisors (100037062153).

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

77922465992 is an equidigital number, since it uses as much as digits as its factorization.

77922465992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 645 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 62.

The spelling of 77922465992 in words is "seventy-seven billion, nine hundred twenty-two million, four hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 529 613 644 1058 1127 1226 1288 2116 2254 2452 3703 4232 4291 4508 4904 7406 8582 9016 14099 14812 17164 25921 28198 29624 30037 34328 51842 56396 60074 98693 103684 112792 120148 197386 207368 240296 324277 375769 394772 648554 690851 751538 789544 1297108 1381702 1503076 2269939 2594216 2630383 2763404 3006152 4539878 5260766 5526808 8642687 9079756 10521532 15889573 17285374 18159512 18412681 21043064 31779146 34570748 36825362 60498809 63558292 69141496 73650724 120997618 127116584 147301448 198781801 241995236 397563602 423491663 483990472 795127204 846983326 1391472607 1590254408 1693966652 2782945214 3387933304 5565890428 9740308249 11131780856 19480616498 38961232996 77922465992