Search a number
-
+
12198018672084 = 2237473089670383
BaseRepresentation
bin1011000110000001001010…
…0100011110010111010100
31121012010012220010220100110
42301200102210132113110
53044323020240001314
641535405321243020
72366164162653210
oct261402244362724
947163186126313
1012198018672084
1139831725a2013
121450083933470
136a63643a157b
1430255c8a5940
1516247246ea59
hexb181291e5d4

12198018672084 has 48 divisors (see below), whose sum is σ = 33220135968768. Its totient is φ = 3410996101728.

The previous prime is 12198018672067. The next prime is 12198018672097. The reversal of 12198018672084 is 48027681089121.

It is a congruent number.

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, 1544831244 + ... + 1544839139.

It is an arithmetic number, because the mean of its divisors is an integer number (692086166016).

Almost surely, 212198018672084 is an apocalyptic number.

12198018672084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12198018672084 is an abundant number, since it is smaller than the sum of its proper divisors (21022117296684).

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

12198018672084 is a wasteful number, since it uses less digits than its factorization.

12198018672084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089670444 (or 3089670442 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 12198018672084 in words is "twelve trillion, one hundred ninety-eight billion, eighteen million, six hundred seventy-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3948 3089670383 6179340766 9269011149 12358681532 18538022298 21627692681 37076044596 43255385362 64883078043 86510770724 129766156086 145214508001 259532312172 290429016002 435643524003 580858032004 871287048006 1016501556007 1742574096012 2033003112014 3049504668021 4066006224028 6099009336042 12198018672084