Search a number
-
+
13353181289745 = 35111791084741681
BaseRepresentation
bin1100001001010000011110…
…1000001001110100010001
31202021112220011101222202120
43002110013220021310101
53222234303402232440
644222211121204453
72545510165132023
oct302240750116421
952245804358676
1013353181289745
1142890637a3120
1215b7b29490729
1375b2796741bb
143424241b2013
15182530b3edd0
hexc2507a09d11

13353181289745 has 64 divisors (see below), whose sum is σ = 23440302858240. Its totient is φ = 6437352627200.

The previous prime is 13353181289743. The next prime is 13353181289801. The reversal of 13353181289745 is 54798218135331.

It is not a de Polignac number, because 13353181289745 - 21 = 13353181289743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13353181289743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320345305 + ... + 320386985.

It is an arithmetic number, because the mean of its divisors is an integer number (366254732160).

Almost surely, 213353181289745 is an apocalyptic number.

13353181289745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13353181289745 is a deficient number, since it is larger than the sum of its proper divisors (10087121568495).

13353181289745 is a wasteful number, since it uses less digits than its factorization.

13353181289745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52726.

The product of its digits is 21772800, while the sum is 60.

The spelling of 13353181289745 in words is "thirteen trillion, three hundred fifty-three billion, one hundred eighty-one million, two hundred eighty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 179 537 895 1969 2685 5907 9845 10847 29535 32541 41681 54235 119317 125043 162705 208405 357951 458491 596585 625215 1375473 1789755 1941613 2292455 5824839 6877365 7460899 9708065 21357743 22382697 29124195 37304495 64073229 82069889 106788715 111913485 246209667 320366145 410349445 452113807 1231048335 1356341421 2260569035 4973251877 6781707105 14919755631 24866259385 74598778155 80928371453 242785114359 404641857265 890212085983 1213925571795 2670636257949 4451060429915 13353181289745