Search a number
-
+
12164827784540 = 22538943913612617
BaseRepresentation
bin1011000100000101100000…
…1111010010010101011100
31121001221112202122010011012
42301001120033102111130
53043302031403101130
641512240021314352
72363610526036214
oct261013017222534
947057482563135
1012164827784540
113970090169a42
1214457602659b8
136a31a4c0b542
14300ad0765244
1516167d647995
hexb10583d255c

12164827784540 has 96 divisors (see below), whose sum is σ = 25698828355200. Its totient is φ = 4836959723520.

The previous prime is 12164827784521. The next prime is 12164827784569. The reversal of 12164827784540 is 4548772846121.

It is a self number, because there is not a number n which added to its sum of digits gives 12164827784540.

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 31 ways as a sum of consecutive naturals, for example, 4648385312 + ... + 4648387928.

It is an arithmetic number, because the mean of its divisors is an integer number (267696128700).

Almost surely, 212164827784540 is an apocalyptic number.

12164827784540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12164827784540 is an abundant number, since it is smaller than the sum of its proper divisors (13534000570660).

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

12164827784540 is a wasteful number, since it uses less digits than its factorization.

12164827784540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 59.

The spelling of 12164827784540 in words is "twelve trillion, one hundred sixty-four billion, eight hundred twenty-seven million, seven hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 389 439 778 878 1361 1556 1756 1945 2195 2617 2722 3890 4390 5234 5444 6805 7780 8780 10468 13085 13610 26170 27220 52340 170771 341542 529429 597479 683084 853855 1018013 1058858 1148863 1194958 1707710 2036026 2117716 2297726 2389916 2647145 2987395 3415420 3561737 4072052 4595452 5090065 5294290 5744315 5974790 7123474 10180130 10588580 11488630 11949580 14246948 17808685 20360260 22977260 35617370 71234740 232419331 446907707 464838662 893815414 929677324 1162096655 1385515693 1563602543 1787630828 2234538535 2324193310 2771031386 3127205086 4469077070 4648386620 5542062772 6254410172 6927578465 7818012715 8938154140 13855156930 15636025430 27710313860 31272050860 608241389227 1216482778454 2432965556908 3041206946135 6082413892270 12164827784540