Search a number
-
+
1180804226084 = 227374735116907
BaseRepresentation
bin10001001011101101011…
…010101001110000100100
311011212212021110202111222
4101023231122221300210
5123321241340213314
62302242020315512
7151211300213420
oct21135532516044
94155767422458
101180804226084
1141585a22502a
12170a20b42b98
13874707126c2
1441218d8bb80
1520aae87dc8e
hex112ed6a9c24

1180804226084 has 96 divisors (see below), whose sum is σ = 2478104961024. Its totient is φ = 481698472320.

The previous prime is 1180804226083. The next prime is 1180804226099. The reversal of 1180804226084 is 4806224080811.

It is not an unprimeable number, because it can be changed into a prime (1180804226081) 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 31 ways as a sum of consecutive naturals, for example, 170954159 + ... + 170961065.

It is an arithmetic number, because the mean of its divisors is an integer number (25813593344).

Almost surely, 21180804226084 is an apocalyptic number.

1180804226084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1180804226084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239052480512).

1180804226084 is an abundant number, since it is smaller than the sum of its proper divisors (1297300734940).

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

1180804226084 is a wasteful number, since it uses less digits than its factorization.

1180804226084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 1180804226084 in words is "one trillion, one hundred eighty billion, eight hundred four million, two hundred twenty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 37 47 74 94 148 188 259 329 518 658 1036 1316 1739 3478 3511 6907 6956 7022 12173 13814 14044 24346 24577 27628 48349 48692 49154 96698 98308 129907 165017 193396 255559 259814 324629 330034 511118 519628 649258 660068 909349 1022236 1155119 1298516 1788913 1818698 2272403 2310238 3577826 3637396 4544806 4620476 6105629 7155652 9089612 12011273 12211258 24022546 24250477 24422516 42739403 48045092 48500954 84078911 85478806 97001908 168157822 169753339 170957612 336315644 339506678 679013356 897267649 1139772419 1794535298 2279544838 3589070596 4559089676 6280873543 7978406933 12561747086 15956813866 25123494172 31913627732 42171579503 84343159006 168686318012 295201056521 590402113042 1180804226084