Search a number
-
+
13202155210455 = 32529263245915643
BaseRepresentation
bin1100000000011101110111…
…0001011000011011010111
31201202010001220012020201100
43000013131301120123113
53212301003213213310
644024553020201143
72531552466500661
oct300073561303327
951663056166640
1013202155210455
114230003489462
1215927bb0991b3
13749c5b656343
14338db8445531
1517d641e2bec0
hexc01ddc586d7

13202155210455 has 96 divisors (see below), whose sum is σ = 23774024102400. Its totient is φ = 6769315010304.

The previous prime is 13202155210369. The next prime is 13202155210469. The reversal of 13202155210455 is 55401255120231.

13202155210455 is a `hidden beast` number, since 1 + 3 + 20 + 21 + 552 + 10 + 4 + 55 = 666.

13202155210455 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 13202155210455 - 220 = 13202154161879 is a prime.

It is a super-3 number, since 3×132021552104553 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 843957864 + ... + 843973506.

It is an arithmetic number, because the mean of its divisors is an integer number (247646084400).

Almost surely, 213202155210455 is an apocalyptic number.

13202155210455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13202155210455 is a deficient number, since it is larger than the sum of its proper divisors (10571868891945).

13202155210455 is a wasteful number, since it uses less digits than its factorization.

13202155210455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18405 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 13202155210455 in words is "thirteen trillion, two hundred two billion, one hundred fifty-five million, two hundred ten thousand, four hundred fifty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 263 435 789 1305 1315 2367 2459 3945 7377 7627 11835 12295 15643 22131 22881 36885 38135 46929 68643 71311 78215 110655 114405 140787 213933 234645 343215 356555 453647 641799 646717 703935 1069665 1360941 1940151 2268235 3208995 3233585 4082823 4114109 5820453 6804705 9700755 12342327 18754793 20414115 20570545 29102265 37026981 38466137 56264379 61711635 93773965 115398411 119309161 168793137 185134905 192330685 281321895 346195233 357927483 576992055 596545805 843965685 1073782449 1115517973 1730976165 1789637415 3346553919 5368912245 5577589865 10039661757 10116594031 16732769595 30349782093 50198308785 50582970155 91049346279 151748910465 293381226899 455246731395 880143680697 1466906134495 2640431042091 4400718403485 13202155210455