Search a number
-
+
13376324550 = 2352474094639
BaseRepresentation
bin11000111010100101…
…01000001111000110
31021112012220200200210
430131102220033012
5204343314341200
610051153020250
7652322611521
oct143522501706
937465820623
1013376324550
11574464a686
122713854686
131352343c54
1490c729bb8
155344da650
hex31d4a83c6

13376324550 has 96 divisors (see below), whose sum is σ = 33969254400. Its totient is φ = 3481839360.

The previous prime is 13376324543. The next prime is 13376324561. The reversal of 13376324550 is 5542367331.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13376324499 and 13376324508.

It is a congruent number.

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, 2881131 + ... + 2885769.

It is an arithmetic number, because the mean of its divisors is an integer number (353846400).

Almost surely, 213376324550 is an apocalyptic number.

13376324550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376324550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16984627200).

13376324550 is an abundant number, since it is smaller than the sum of its proper divisors (20592929850).

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

13376324550 is a wasteful number, since it uses less digits than its factorization.

13376324550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The spelling of 13376324550 in words is "thirteen billion, three hundred seventy-six million, three hundred twenty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 409 470 705 818 1175 1227 1410 2045 2350 2454 3525 4090 4639 6135 7050 9278 10225 12270 13917 19223 20450 23195 27834 30675 38446 46390 57669 61350 69585 96115 115338 115975 139170 192230 218033 231950 288345 347925 436066 480575 576690 654099 695850 961150 1090165 1308198 1441725 1897351 2180330 2883450 3270495 3794702 5450825 5692053 6540990 9486755 10901650 11384106 16352475 18973510 28460265 32704950 47433775 56920530 89175497 94867550 142301325 178350994 267526491 284602650 445877485 535052982 891754970 1337632455 2229387425 2675264910 4458774850 6688162275 13376324550