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76740042177015 = 35727111171316507
BaseRepresentation
bin10001011100101101101110…
…111101000011100111110111
3101001201021110111002001220220
4101130231232331003213313
540024302101244131030
6431113515542425423
722110166532614500
oct2134555675034767
9331637414061826
1076740042177015
11224a72a6222448
128734898a32273
1333a872a2326a9
1414d4348985ba7
158d12b809ea10
hex45cb6ef439f7

76740042177015 has 96 divisors (see below), whose sum is σ = 144971923060224. Its totient is φ = 34556070769920.

The previous prime is 76740042176989. The next prime is 76740042177049. The reversal of 76740042177015 is 51077124004767.

It is not a de Polignac number, because 76740042177015 - 26 = 76740042176951 is a prime.

It is a super-2 number, since 2×767400421770152 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57632392 + ... + 58948898.

It is an arithmetic number, because the mean of its divisors is an integer number (1510124198544).

Almost surely, 276740042177015 is an apocalyptic number.

76740042177015 is a deficient number, since it is larger than the sum of its proper divisors (68231880883209).

76740042177015 is a wasteful number, since it uses less digits than its factorization.

76740042177015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317717 (or 1317710 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 76740042177015 in words is "seventy-six trillion, seven hundred forty billion, forty-two million, one hundred seventy-seven thousand, fifteen".

Divisors: 1 3 5 7 15 21 35 49 71 105 147 213 245 355 497 735 1065 1117 1491 2485 3351 3479 5585 7455 7819 10437 16755 17395 23457 39095 52185 54733 79307 117285 164199 237921 273665 396535 555149 820995 1189605 1316507 1665447 2775745 3886043 3949521 6582535 8327235 9215549 11658129 19430215 19747605 27646647 46077745 58290645 64508843 93471997 138233235 193526529 280415991 322544215 467359985 654303979 967632645 1402079955 1470538319 1962911937 3271519895 4411614957 4580127853 7352691595 9814559685 10293768233 13740383559 22058074785 22900639265 30881304699 51468841165 68701917795 72056377631 104408220649 154406523495 216169132893 313224661947 360281888155 522041103245 730857544543 1080845664465 1566123309735 2192572633629 3654287722715 5116002811801 10962863168145 15348008435403 25580014059005 76740042177015