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8105977973457 = 3271383291188307
BaseRepresentation
bin111010111110101000111…
…1100000000101011010001
31001200220221112122021001100
41311331101330000223101
52030302020330122312
625123500155455013
71464431455633620
oct165752174005321
931626845567040
108105977973457
1126457a9275271
12aaabab757469
1346a50ca599b0
1420048d6176b7
15e0cc5dd65dc
hex75f51f00ad1

8105977973457 has 48 divisors (see below), whose sum is σ = 14412369811840. Its totient is φ = 4275163742976.

The previous prime is 8105977973441. The next prime is 8105977973477. The reversal of 8105977973457 is 7543797795018.

8105977973457 is a `hidden beast` number, since 8 + 10 + 5 + 9 + 77 + 97 + 3 + 457 = 666.

It is not a de Polignac number, because 8105977973457 - 24 = 8105977973441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8105977973417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6227298 + ... + 7415604.

Almost surely, 28105977973457 is an apocalyptic number.

It is an amenable number.

8105977973457 is a deficient number, since it is larger than the sum of its proper divisors (6306391838383).

8105977973457 is a wasteful number, since it uses less digits than its factorization.

8105977973457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196662 (or 1196659 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 72.

The spelling of 8105977973457 in words is "eight trillion, one hundred five billion, nine hundred seventy-seven million, nine hundred seventy-three thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 8329 24987 58303 74961 108277 174909 324831 524727 757939 974493 1188307 2273817 3564921 6821451 8318149 10694763 15447991 24954447 46343973 74863341 108135937 139031919 324407811 973223433 9897409003 29692227009 69281863021 89076681027 128666317039 207845589063 385998951117 623536767189 900664219273 1157996853351 2701992657819 8105977973457