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104977993275 = 33521747194647
BaseRepresentation
bin110000111000100101…
…1010000111000111011
3101000222002121121021000
41201301023100320323
53204443331241100
6120120510420043
710404311135301
oct1416113207073
9330862547230
10104977993275
1140580382131
1218418b01623
139b8cc346ac
14511c234271
152ae6295900
hex18712d0e3b

104977993275 has 96 divisors (see below), whose sum is σ = 208538081280. Its totient is φ = 51573404160.

The previous prime is 104977993273. The next prime is 104977993291. The reversal of 104977993275 is 572399779401.

104977993275 is a `hidden beast` number, since 1 + 0 + 497 + 79 + 9 + 3 + 2 + 75 = 666.

It is not a de Polignac number, because 104977993275 - 21 = 104977993273 is a prime.

It is a super-2 number, since 2×1049779932752 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104977993273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442002 + ... + 636648.

It is an arithmetic number, because the mean of its divisors is an integer number (2172271680).

Almost surely, 2104977993275 is an apocalyptic number.

104977993275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104977993275 is a deficient number, since it is larger than the sum of its proper divisors (103560088005).

104977993275 is a wasteful number, since it uses less digits than its factorization.

104977993275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194730 (or 194719 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 104977993275 in words is "one hundred four billion, nine hundred seventy-seven million, nine hundred ninety-three thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 47 51 75 85 135 141 153 225 235 255 423 425 459 675 705 765 799 1175 1269 1275 2115 2295 2397 3525 3825 3995 6345 7191 10575 11475 11985 19975 21573 31725 35955 59925 107865 179775 194647 539325 583941 973235 1751823 2919705 3308999 4866175 5255469 8759115 9148409 9926997 14598525 16544995 26277345 27445227 29780991 43795575 45742045 49634985 82335681 82724975 89342973 131386725 137226135 148904955 155522953 228710225 247007043 248174925 411678405 446714865 466568859 686130675 744524775 777614765 1235035215 1399706577 2058392025 2233574325 2332844295 3888073825 4199119731 6175176075 6998532885 11664221475 20995598655 34992664425 104977993275