Search a number
-
+
187012681074 = 23243271907983
BaseRepresentation
bin1010111000101011010…
…0110000110101110010
3122212201020100112012100
42232022310300311302
511031000221243244
6221525030441230
716340230363302
oct2561264606562
9585636315170
10187012681074
117234786827a
12302b2203216
131483476a48b
1490a12d7602
154ce81c9b69
hex2b8ad30d72

187012681074 has 96 divisors (see below), whose sum is σ = 417029842944. Its totient is φ = 60534643680.

The previous prime is 187012681073. The next prime is 187012681103. The reversal of 187012681074 is 470186210781.

187012681074 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (187012681073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190246387 + ... + 190247369.

It is an arithmetic number, because the mean of its divisors is an integer number (4344060864).

Almost surely, 2187012681074 is an apocalyptic number.

187012681074 is an abundant number, since it is smaller than the sum of its proper divisors (230017161870).

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

187012681074 is a wasteful number, since it uses less digits than its factorization.

187012681074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 187012681074 in words is "one hundred eighty-seven billion, twelve million, six hundred eighty-one thousand, seventy-four".

Divisors: 1 2 3 6 9 18 43 86 129 258 271 387 542 774 813 907 983 1626 1814 1966 2439 2721 2949 4878 5442 5898 8163 8847 11653 16326 17694 23306 34959 39001 42269 69918 78002 84538 104877 117003 126807 209754 234006 245797 253614 266393 351009 380421 491594 532786 702018 737391 760842 799179 891581 1474782 1598358 1783162 2212173 2397537 2674743 4424346 4795074 5349486 8024229 10569271 11454899 16048458 21138542 22909798 31707813 34364697 38337983 63415626 68729394 76675966 95123439 103094091 115013949 190246878 206188182 230027898 241618451 345041847 483236902 690083694 724855353 1449710706 2174566059 4349132118 10389593393 20779186786 31168780179 62337560358 93506340537 187012681074