Search a number
-
+
13505525011050 = 23524115971375091
BaseRepresentation
bin1100010010001000000000…
…0001010101001001101010
31202211010010020222212211220
43010202000001111021222
53232233303400323200
644420204052002510
72562512333322012
oct304420001251152
952733106885756
1013505525011050
11433772a864826
121621565000436
1376c7476660a7
14349956d32c42
1518649a37a4a0
hexc488005526a

13505525011050 has 96 divisors (see below), whose sum is σ = 34332130977984. Its totient is φ = 3511429824000.

The previous prime is 13505525011049. The next prime is 13505525011133. The reversal of 13505525011050 is 5011052550531.

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, 9134005 + ... + 10509095.

It is an arithmetic number, because the mean of its divisors is an integer number (357626364354).

Almost surely, 213505525011050 is an apocalyptic number.

13505525011050 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 13505525011050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17166065488992).

13505525011050 is an abundant number, since it is smaller than the sum of its proper divisors (20826605966934).

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

13505525011050 is a wasteful number, since it uses less digits than its factorization.

13505525011050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376744 (or 1376739 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

Adding to 13505525011050 its reverse (5011052550531), we get a palindrome (18516577561581).

The spelling of 13505525011050 in words is "thirteen trillion, five hundred five billion, five hundred twenty-five million, eleven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1025 1230 1597 2050 3075 3194 4791 6150 7985 9582 15970 23955 39925 47910 65477 79850 119775 130954 196431 239550 327385 392862 654770 982155 1375091 1636925 1964310 2750182 3273850 4125273 4910775 6875455 8250546 9821550 13750910 20626365 34377275 41252730 56378731 68754550 103131825 112757462 169136193 206263650 281893655 338272386 563787310 845680965 1409468275 1691361930 2196020327 2818936550 4228404825 4392040654 6588060981 8456809650 10980101635 13176121962 21960203270 32940304905 54900508175 65880609810 90036833407 109801016350 164701524525 180073666814 270110500221 329403049050 450184167035 540221000442 900368334070 1350552501105 2250920835175 2701105002210 4501841670350 6752762505525 13505525011050