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13738266705163 = 71113181127292777
BaseRepresentation
bin1100011111101011000010…
…0000011011110100001011
31210122100212102112221222211
43013322300200123310023
53300041432234031123
645115134514125551
72615362025143120
oct307726040336413
953570772487884
1013738266705163
114417403443360
12165a6998808b7
13788689071760
14356d15626747
1518c56ce9740d
hexc7eb081bd0b

13738266705163 has 64 divisors (see below), whose sum is σ = 18469381432320. Its totient is φ = 9869039769600.

The previous prime is 13738266705157. The next prime is 13738266705181. The reversal of 13738266705163 is 36150766283731.

13738266705163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13738266705163 - 225 = 13738233150731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13738266705098 and 13738266705107.

It is not an unprimeable number, because it can be changed into a prime (13738266705113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4947159831 + ... + 4947162607.

It is an arithmetic number, because the mean of its divisors is an integer number (288584084880).

Almost surely, 213738266705163 is an apocalyptic number.

13738266705163 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13738266705163 is a deficient number, since it is larger than the sum of its proper divisors (4731114727157).

13738266705163 is a wasteful number, since it uses less digits than its factorization.

13738266705163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348.

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 13738266705163 in words is "thirteen trillion, seven hundred thirty-eight billion, two hundred sixty-six million, seven hundred five thousand, one hundred sixty-three".

Divisors: 1 7 11 13 77 91 143 1001 1811 2729 2777 12677 19103 19439 19921 23543 30019 30547 35477 36101 139447 164801 210133 213829 248339 252707 258973 390247 397111 1812811 2731729 2779777 4942219 5029147 7578433 34595533 35204029 53049031 54364409 55320617 64248847 65378911 83362763 98519629 380550863 387244319 449741929 457652377 583539341 689637403 706737317 719168021 1083715919 4947161219 5034176147 7586011433 13724542163 96071795141 150969963793 178419048119 1056789746551 1248933336833 1962609529309 13738266705163