Search a number
-
+
12277227816264 = 2334749122167143
BaseRepresentation
bin1011001010101000001111…
…0011011000010101001000
31121110200200010010100010010
42302222003303120111020
53102122230310110024
642040025224151520
72405000102404545
oct262520363302510
947420603110103
1012277227816264
113a0381a043444
1214634aa9085a0
136b0978705658
143063145b5bcc
1516455b2c0b29
hexb2a83cd8548

12277227816264 has 64 divisors (see below), whose sum is σ = 31409956362240. Its totient is φ = 3997179045440.

The previous prime is 12277227816221. The next prime is 12277227816289. The reversal of 12277227816264 is 46261872277221.

It is a super-2 number, since 2×122772278162642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10529724 + ... + 11637419.

It is an arithmetic number, because the mean of its divisors is an integer number (490780568160).

Almost surely, 212277227816264 is an apocalyptic number.

It is an amenable number.

12277227816264 is an abundant number, since it is smaller than the sum of its proper divisors (19132728545976).

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

12277227816264 is a wasteful number, since it uses less digits than its factorization.

12277227816264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22167690 (or 22167686 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 57.

The spelling of 12277227816264 in words is "twelve trillion, two hundred seventy-seven billion, two hundred twenty-seven million, eight hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 491 564 982 1128 1473 1964 2946 3928 5892 11784 23077 46154 69231 92308 138462 184616 276924 553848 22167143 44334286 66501429 88668572 133002858 177337144 266005716 532011432 1041855721 2083711442 3125567163 4167422884 6251134326 8334845768 10884067213 12502268652 21768134426 25004537304 32652201639 43536268852 65304403278 87072537704 130608806556 261217613112 511551159011 1023102318022 1534653477033 2046204636044 3069306954066 4092409272088 6138613908132 12277227816264