Search a number
-
+
12344727066050 = 25217411732047541
BaseRepresentation
bin1011001110100011101100…
…0100100101010111000010
31121201010220020212111121102
42303220323010211113002
53104224000112103200
642131031143254402
72412606562512341
oct263507304452702
947633806774542
1012344727066050
113a2a4076698a5
1214745a814a402
136b7144a1a242
143096b9023b58
151661ac0a86d5
hexb3a3b1255c2

12344727066050 has 96 divisors (see below), whose sum is σ = 25048793430864. Its totient is φ = 4507864064000.

The previous prime is 12344727066017. The next prime is 12344727066073. The reversal of 12344727066050 is 5066072744321.

It can be written as a sum of positive squares in 24 ways, for example, as 17809703209 + 12326917362841 = 133453^2 + 3510971^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12344727065986 and 12344727066004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5005280 + ... + 7052820.

Almost surely, 212344727066050 is an apocalyptic number.

12344727066050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12344727066050 is an abundant number, since it is smaller than the sum of its proper divisors (12704066364814).

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

12344727066050 is a wasteful number, since it uses less digits than its factorization.

12344727066050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047784 (or 2047779 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 12344727066050 in words is "twelve trillion, three hundred forty-four billion, seven hundred twenty-seven million, sixty-six thousand, fifty".

Divisors: 1 2 5 10 17 25 34 41 50 82 85 170 173 205 346 410 425 697 850 865 1025 1394 1730 2050 2941 3485 4325 5882 6970 7093 8650 14186 14705 17425 29410 34850 35465 70930 73525 120581 147050 177325 241162 354650 602905 1205810 2047541 3014525 4095082 6029050 10237705 20475410 34808197 51188525 69616394 83949181 102377050 167898362 174040985 348081970 354224593 419745905 708449186 839491810 870204925 1427136077 1740409850 1771122965 2098729525 2854272154 3542245930 4197459050 6021818081 7135680385 8855614825 12043636162 14271360770 14523208313 17711229650 29046416626 30109090405 35678401925 60218180810 71356803850 72616041565 145232083130 150545452025 246894541321 301090904050 363080207825 493789082642 726160415650 1234472706605 2468945413210 6172363533025 12344727066050