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242072475524176 = 24117119997346719
BaseRepresentation
bin110111000010100111100011…
…111010011101110001010000
31011202002220101000220000111011
4313002213203322131301100
5223212103412213233201
62214502320544500304
7101663105415564613
oct6702474372356120
91152086330800434
10242072475524176
117014a3a6687220
122319732631a694
13a50c44b37504b
1443ac52828417a
151cebcd988d151
hexdc29e3e9dc50

242072475524176 has 80 divisors (see below), whose sum is σ = 521466909696000. Its totient is φ = 107938040918400.

The previous prime is 242072475524149. The next prime is 242072475524227. The reversal of 242072475524176 is 671425574270242.

It is a self number, because there is not a number n which added to its sum of digits gives 242072475524176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46186656 + ... + 51160063.

It is an arithmetic number, because the mean of its divisors is an integer number (6518336371200).

Almost surely, 2242072475524176 is an apocalyptic number.

It is an amenable number.

242072475524176 is an abundant number, since it is smaller than the sum of its proper divisors (279394434171824).

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

242072475524176 is a wasteful number, since it uses less digits than its factorization.

242072475524176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97347008 (or 97347002 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 58.

The spelling of 242072475524176 in words is "two hundred forty-two trillion, seventy-two billion, four hundred seventy-five million, five hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 199 284 398 568 781 796 1136 1562 1592 2189 3124 3184 4378 6248 8756 12496 14129 17512 28258 35024 56516 113032 155419 226064 310838 621676 1243352 2486704 97346719 194693438 389386876 778773752 1070813909 1557547504 2141627818 4283255636 6911617049 8566511272 13823234098 17133022544 19371997081 27646468196 38743994162 55292936392 76027787539 77487988324 110585872784 152055575078 154975976648 213091967891 304111150156 309951953296 426183935782 608222300312 852367871564 1216444600624 1375411792751 1704735743128 2750823585502 3409471486256 5501647171004 11003294342008 15129529720261 22006588684016 30259059440522 60518118881044 121036237762088 242072475524176