Search a number
-
+
121682338521580 = 22523614439788951
BaseRepresentation
bin11011101010101101100000…
…100100000010000111101100
3120221211201101101111210110001
4123222231200210002013230
5111422120412130142310
61110444032233554044
734426154532524044
oct3352554044020754
9527751341453401
10121682338521580
113585420a930641
1211792a28b75924
1352b8797ac95a5
142209656d10724
15e1038468893a
hex6eab609021ec

121682338521580 has 96 divisors (see below), whose sum is σ = 271626032821248. Its totient is φ = 45690119904000.

The previous prime is 121682338521553. The next prime is 121682338521587. The reversal of 121682338521580 is 85125833286121.

It is not an unprimeable number, because it can be changed into a prime (121682338521587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7536105 + ... + 17325055.

It is an arithmetic number, because the mean of its divisors is an integer number (2829437841888).

Almost surely, 2121682338521580 is an apocalyptic number.

121682338521580 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 121682338521580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135813016410624).

121682338521580 is an abundant number, since it is smaller than the sum of its proper divisors (149943694299668).

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

121682338521580 is a wasteful number, since it uses less digits than its factorization.

121682338521580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789487 (or 9789485 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 121682338521580 in words is "one hundred twenty-one trillion, six hundred eighty-two billion, three hundred thirty-eight million, five hundred twenty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 443 460 610 886 1220 1403 1772 2215 2806 4430 5612 7015 8860 10189 14030 20378 27023 28060 40756 50945 54046 101890 108092 135115 203780 270230 540460 621529 1243058 2486116 3107645 6215290 9788951 12430580 19577902 39155804 48944755 97889510 195779020 225145873 450291746 597126011 900583492 1125729365 1194252022 2251458730 2388504044 2985630055 4336505293 4502917460 5971260110 8673010586 11942520220 13733898253 17346021172 21682526465 27467796506 43365052930 54935593012 68669491265 86730105860 99739621739 137338982530 199479243478 264526822873 274677965060 398958486956 498698108695 529053645746 997396217390 1058107291492 1322634114365 1994792434780 2645268228730 5290536457460 6084116926079 12168233852158 24336467704316 30420584630395 60841169260790 121682338521580