Search a number
-
+
454455335405505 = 357241137591096057
BaseRepresentation
bin110011101010100110010000…
…0110101010100011111000001
32012121002111122201000022020210
41213111030200311110133001
5434031244011330434010
64250313522100224333
7164503212602431500
oct14725144065243701
92177074581008223
10454455335405505
11121892475234935
1242b785a439b0a9
1316676c5361c385
148031a814d4837
15378165d5e2b20
hex19d5320d547c1

454455335405505 has 96 divisors (see below), whose sum is σ = 866537492244480. Its totient is φ = 202668996741120.

The previous prime is 454455335405501. The next prime is 454455335405509. The reversal of 454455335405505 is 505504533554454.

It is an interprime number because it is at equal distance from previous prime (454455335405501) and next prime (454455335405509).

It is not a de Polignac number, because 454455335405505 - 22 = 454455335405501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454455335405501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414079437 + ... + 415175493.

It is an arithmetic number, because the mean of its divisors is an integer number (9026432210880).

Almost surely, 2454455335405505 is an apocalyptic number.

It is an amenable number.

454455335405505 is a deficient number, since it is larger than the sum of its proper divisors (412082156838975).

454455335405505 is a wasteful number, since it uses less digits than its factorization.

454455335405505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109879 (or 1109872 counting only the distinct ones).

The product of its (nonzero) digits is 180000000, while the sum is 57.

Adding to 454455335405505 its reverse (505504533554454), we get a palindrome (959959868959959).

The spelling of 454455335405505 in words is "four hundred fifty-four trillion, four hundred fifty-five billion, three hundred thirty-five million, four hundred five thousand, five hundred five".

Divisors: 1 3 5 7 15 21 35 41 49 105 123 147 205 245 287 615 735 861 1435 2009 4305 6027 10045 13759 30135 41277 68795 96313 206385 288939 481565 564119 674191 1096057 1444695 1692357 2022573 2820595 3288171 3370955 3948833 5480285 7672399 8461785 10112865 11846499 16440855 19744165 23017197 27641831 38361995 44938337 53706793 59232495 82925493 115085985 134815011 138209155 161120379 224691685 268533965 314568359 414627465 674075055 805601895 943705077 1572841795 2201978513 4718525385 6605935539 11009892565 15080648263 33029677695 45241944789 75403241315 105564537841 226209723945 316693613523 527822689205 618306578783 738951764887 1583468067615 1854919736349 2216855294661 3091532893915 3694758824435 4328146051481 9274598681745 11084276473305 12984438154443 21640730257405 30297022360367 64922190772215 90891067081101 151485111801835 454455335405505