Search a number
-
+
12182177740000 = 25542424725121
BaseRepresentation
bin1011000101000110001001…
…1000000111010011100000
31121010121022220122011201011
42301101202120013103200
53044043100000140000
641524225403150304
72365063502160562
oct261214230072340
947117286564634
1012182177740000
113977483822304
121448ba2815394
136a4a0b570788
14301898add332
15161d468ea2ba
hexb14626074e0

12182177740000 has 120 divisors (see below), whose sum is σ = 29972413669968. Its totient is φ = 4872476160000.

The previous prime is 12182177739971. The next prime is 12182177740021. The reversal of 12182177740000 is 4777128121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 484927440 + ... + 484952560.

Almost surely, 212182177740000 is an apocalyptic number.

12182177740000 is a gapful number since it is divisible by the number (10) 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 12182177740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986206834984).

12182177740000 is an abundant number, since it is smaller than the sum of its proper divisors (17790235929968).

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

12182177740000 is an equidigital number, since it uses as much as digits as its factorization.

12182177740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49398 (or 49375 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The spelling of 12182177740000 in words is "twelve trillion, one hundred eighty-two billion, one hundred seventy-seven million, seven hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 24247 25121 48494 50242 96988 100484 121235 125605 193976 200968 242470 251210 387952 401936 484940 502420 606175 628025 775904 803872 969880 1004840 1212350 1256050 1939760 2009680 2424700 2512100 3030875 3140125 3879520 4019360 4849400 5024200 6061750 6280250 9698800 10048400 12123500 12560500 15154375 15700625 19397600 20096800 24247000 25121000 30308750 31401250 48494000 50242000 60617500 62802500 96988000 100484000 121235000 125605000 242470000 251210000 484940000 502420000 609108887 1218217774 2436435548 3045544435 4872871096 6091088870 9745742192 12182177740 15227722175 19491484384 24364355480 30455444350 48728710960 60910888700 76138610875 97457421920 121821777400 152277221750 243643554800 304554443500 380693054375 487287109600 609108887000 761386108750 1218217774000 1522772217500 2436435548000 3045544435000 6091088870000 12182177740000