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13551515145 = 325743253439
BaseRepresentation
bin11001001111011101…
…11011011000001001
31021222102120022000100
430213232323120021
5210223141441040
610120412000013
7656550656340
oct144756733011
937872508010
1013551515145
1158245279a3
122762460009
13137c722a1c
14927ad0b57
15544a93b30
hex327bbb609

13551515145 has 144 divisors (see below), whose sum is σ = 28066072320. Its totient is φ = 5923217664.

The previous prime is 13551515137. The next prime is 13551515147. The reversal of 13551515145 is 54151515531.

13551515145 is a `hidden beast` number, since 1 + 3 + 551 + 51 + 51 + 4 + 5 = 666.

It is not a de Polignac number, because 13551515145 - 23 = 13551515137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13551515147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30868836 + ... + 30869274.

It is an arithmetic number, because the mean of its divisors is an integer number (194903280).

Almost surely, 213551515145 is an apocalyptic number.

13551515145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13551515145 is an abundant number, since it is smaller than the sum of its proper divisors (14514557175).

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

13551515145 is a wasteful number, since it uses less digits than its factorization.

13551515145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 550 counting only the distinct ones).

The product of its digits is 37500, while the sum is 36.

The spelling of 13551515145 in words is "thirteen billion, five hundred fifty-one million, five hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 43 45 53 63 105 129 159 215 265 301 315 371 387 439 477 645 795 903 1113 1317 1505 1849 1855 1935 2195 2279 2385 2709 3073 3339 3951 4515 5547 5565 6585 6837 9219 9245 11395 12943 13545 15365 15953 16641 16695 18877 19755 20511 23267 27657 27735 34185 38829 46095 47859 56631 64715 69801 79765 83205 94385 97997 102555 116335 116487 132139 138285 143577 162869 169893 194145 209403 239295 283155 293991 349005 396417 488607 489985 582435 660695 685979 717885 811711 814345 849465 881973 1000481 1047015 1189251 1465821 1469955 1982085 2057937 2435133 2443035 3001443 3429895 4058555 4409865 5002405 5681977 5946255 6173811 7003367 7305399 7329105 9004329 10289685 12175665 15007215 17045931 21010101 28409885 30869055 35016835 36526995 43020683 45021645 51137793 63030303 85229655 105050505 129062049 215103415 255688965 301144781 315151515 387186147 645310245 903434343 1505723905 1935930735 2710303029 4517171715 13551515145