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7686742125381 = 31117292414014889
BaseRepresentation
bin110111111011011010110…
…0010001010101101000101
31000012211211021102120011220
41233312311202022231011
52001414421441003011
624203123544350553
71422230431006104
oct157666542125505
930184737376156
107686742125381
1124a3a2459a570
12a418aa475459
13439b1a154b37
141c807c84603b
15d4e3a8b7506
hex6fdb588ab45

7686742125381 has 128 divisors (see below), whose sum is σ = 12330630259200. Its totient is φ = 4204462080000.

The previous prime is 7686742125367. The next prime is 7686742125409. The reversal of 7686742125381 is 1835212476867.

It is not a de Polignac number, because 7686742125381 - 221 = 7686740028229 is a prime.

It is a super-2 number, since 2×76867421253812 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686742125341) 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, 1572249985 + ... + 1572254873.

It is an arithmetic number, because the mean of its divisors is an integer number (96333048900).

Almost surely, 27686742125381 is an apocalyptic number.

It is an amenable number.

7686742125381 is a deficient number, since it is larger than the sum of its proper divisors (4643888133819).

7686742125381 is a wasteful number, since it uses less digits than its factorization.

7686742125381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591.

The product of its digits is 27095040, while the sum is 60.

The spelling of 7686742125381 in words is "seven trillion, six hundred eighty-six billion, seven hundred forty-two million, one hundred twenty-five thousand, three hundred eighty-one".

Divisors: 1 3 11 17 29 33 51 87 187 241 319 401 493 561 723 957 1203 1479 2651 4097 4411 4889 5423 6817 6989 7953 11629 12291 13233 14667 16269 20451 20967 34887 45067 53779 74987 76879 83113 96641 118813 127919 135201 141781 161337 197693 224961 230637 249339 289923 356439 383757 425343 593079 914243 1063051 1178249 1306943 1559591 1642897 1960489 2174623 2410277 2742729 2802589 3189153 3534747 3920829 4678773 4928691 5881467 6523869 7230831 8407767 12960739 18071867 20030233 21565379 26513047 30828479 33328313 34169221 38882217 47644013 54215601 56854181 60090699 64696137 79539141 92485437 99984939 102507663 142932039 170562543 220332563 366611443 375861431 472477849 524084143 580876757 625395991 660997689 966521077 1099834329 1127584293 1417433547 1572252429 1742630271 1876187973 2899563231 5197256339 6389644327 8032123433 10631731847 13701857621 15591769017 19168932981 24096370299 31895195541 41105572863 88353357763 150720433831 232931579557 265060073289 452161301493 698794738671 2562247375127 7686742125381