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505454454505 = 571113974212473
BaseRepresentation
bin1110101101011110110…
…11101110011011101001
31210022122222201201012001
413112233123232123221
531240132320021010
61024111431051001
751342426655150
oct7265733563351
91708588651161
10505454454505
111853a8953940
1281b63810a61
13388831a5a50
141a66d7c2597
15d234907c3a
hex75af6ee6e9

505454454505 has 128 divisors (see below), whose sum is σ = 825066095616. Its totient is φ = 287052595200.

The previous prime is 505454454497. The next prime is 505454454509.

505454454505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505454454505 - 23 = 505454454497 is a prime.

It is a super-2 number, since 2×5054544545052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505454454509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204387949 + ... + 204390421.

It is an arithmetic number, because the mean of its divisors is an integer number (6445828872).

Almost surely, 2505454454505 is an apocalyptic number.

505454454505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505454454505 is a deficient number, since it is larger than the sum of its proper divisors (319611641111).

505454454505 is a wasteful number, since it uses less digits than its factorization.

505454454505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027.

The product of its (nonzero) digits is 4000000, while the sum is 46.

It can be divided in two parts, 505454 and 454505, that added together give a palindrome (959959).

The spelling of 505454454505 in words is "five hundred five billion, four hundred fifty-four million, four hundred fifty-four thousand, five hundred five".

Divisors: 1 5 7 11 13 35 55 65 77 91 97 143 385 421 455 485 679 715 1001 1067 1261 2105 2473 2947 3395 4631 5005 5335 5473 6305 7469 8827 12365 13871 14735 17311 23155 27203 27365 32149 32417 37345 38311 40837 44135 60203 69355 86555 97097 136015 160745 162085 190421 191555 204185 225043 239881 285859 301015 353639 421421 449207 485485 530881 952105 1041133 1125215 1199405 1429295 1679167 1768195 2107105 2246035 2475473 2638691 2654405 3118453 3144449 3716167 5205665 5839691 7287931 8395835 11452463 12377365 13193455 13534729 15592265 15722245 18470837 18580835 21829171 29198455 34302983 36439655 40877837 57262315 67673645 80167241 92354185 94743103 100989901 109145855 148882019 171514915 204389185 240120881 400836205 473715515 504949505 706929307 744410095 1042174133 1110888911 1200604405 1312868713 3534646535 5210870665 5554444555 6564343565 7776222377 9190080991 14441555843 38881111885 45950404955 72207779215 101090890901 505454454505