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42681094011927 = 377231011200161
BaseRepresentation
bin10011011010001011101110…
…11100100111110000010111
312121010021100211022120000000
421231011313130213300113
521043241340031340202
6230435231321422343
711663415204114420
oct1155056734476027
9177107324276000
1042681094011927
1112665a4a96a918
124953a7003a9b3
131aa7a6b456377
14a77ac13a8647
154e03770d791c
hex26d177727c17

42681094011927 has 128 divisors (see below), whose sum is σ = 77093030154240. Its totient is φ = 23097799296000.

The previous prime is 42681094011923. The next prime is 42681094011953. The reversal of 42681094011927 is 72911049018624.

42681094011927 is a `hidden beast` number, since 42 + 6 + 8 + 1 + 0 + 9 + 401 + 192 + 7 = 666.

It is not a de Polignac number, because 42681094011927 - 22 = 42681094011923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42681094011923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34962727 + ... + 36162887.

It is an arithmetic number, because the mean of its divisors is an integer number (602289298080).

Almost surely, 242681094011927 is an apocalyptic number.

42681094011927 is a deficient number, since it is larger than the sum of its proper divisors (34411936142313).

42681094011927 is a wasteful number, since it uses less digits than its factorization.

42681094011927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200313 (or 1200295 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 42681094011927 in words is "forty-two trillion, six hundred eighty-one billion, ninety-four million, eleven thousand, nine hundred twenty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 81 101 161 189 207 243 303 483 567 621 707 729 909 1449 1701 1863 2121 2187 2323 2727 4347 5103 5589 6363 6969 8181 13041 15309 16261 16767 19089 20907 24543 39123 48783 50301 57267 62721 73629 117369 146349 171801 188163 220887 352107 439047 515403 564489 1200161 1317141 1546209 1693467 3600483 3951423 5080401 8401127 10801449 11854269 25203381 27603703 32404347 35562807 75610143 82811109 97213041 121216261 193225921 226830429 248433327 291639123 363648783 579677763 680491287 745299981 848513827 874917369 1090946349 1739033289 2041473861 2235899943 2545541481 2624752107 2787974003 3272839047 5217099867 6124421583 6707699829 7636624443 8363922009 9818517141 15651299601 18373264749 19515818021 20123099487 22909873329 25091766027 29455551423 46953898803 58547454063 60369298461 68729619987 75275298081 88366654269 140861696409 175642362189 206188859961 225825894243 265099962807 422585089227 526927086567 618566579883 677477682729 1580781259701 1855699739649 2032433048187 4742343779103 6097299144561 14227031337309 42681094011927