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12048933078 = 23271324313159
BaseRepresentation
bin10110011100010110…
…00010000011010110
31011002201012012220200
423032023002003112
5144134011324303
65311334241330
7604404145530
oct131613020326
934081165820
1012048933078
115123343836
1224031b6246
1311a0338400
14824318850
154a7bd93a3
hex2ce2c20d6

12048933078 has 144 divisors (see below), whose sum is σ = 33060867840. Its totient is φ = 3103603776.

The previous prime is 12048933037. The next prime is 12048933101. The reversal of 12048933078 is 87033984021.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909063 + ... + 922221.

It is an arithmetic number, because the mean of its divisors is an integer number (229589360).

Almost surely, 212048933078 is an apocalyptic number.

12048933078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12048933078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16530433920).

12048933078 is an abundant number, since it is smaller than the sum of its proper divisors (21011934762).

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

12048933078 is a wasteful number, since it uses less digits than its factorization.

12048933078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12048933078 in words is "twelve billion, forty-eight million, nine hundred thirty-three thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 43 63 78 86 91 117 126 129 169 182 234 258 273 301 338 387 507 546 559 602 774 819 903 1014 1118 1183 1521 1638 1677 1806 2366 2709 3042 3354 3549 3913 5031 5418 7098 7267 7826 10062 10647 11739 13159 14534 21294 21801 23478 26318 35217 39477 43602 50869 65403 70434 78954 92113 101738 118431 130806 152607 171067 184226 236862 276339 305214 342134 457821 513201 552678 565837 829017 915642 1026402 1131674 1197469 1539603 1658034 1697511 2223871 2394938 3079206 3395022 3592407 3960859 4447742 5092533 6671613 7184814 7355881 7921718 10185066 10777221 11882577 13343226 14711762 15567097 20014839 21554442 22067643 23765154 31134194 35647731 40029678 44135286 46701291 51491167 66202929 71295462 93402582 95626453 102982334 132405858 140103873 154473501 191252906 280207746 286879359 308947002 463420503 573758718 669385171 860638077 926841006 1338770342 1721276154 2008155513 4016311026 6024466539 12048933078