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5505087735 = 3257373311427
BaseRepresentation
bin1010010000010000…
…01111100011110111
3112012122210102200100
411020020033203313
542233300301420
62310133045143
7253264321320
oct51010174367
915178712610
105505087735
112375529994
1210977867b3
136996a5684
143a31bd447
15223477190
hex14820f8f7

5505087735 has 96 divisors (see below), whose sum is σ = 11241764352. Its totient is φ = 2439486720.

The previous prime is 5505087733. The next prime is 5505087779. The reversal of 5505087735 is 5377805055.

5505087735 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5505087735 - 21 = 5505087733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505087733) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3857092 + ... + 3858518.

It is an arithmetic number, because the mean of its divisors is an integer number (117101712).

Almost surely, 25505087735 is an apocalyptic number.

5505087735 is an abundant number, since it is smaller than the sum of its proper divisors (5736676617).

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

5505087735 is a wasteful number, since it uses less digits than its factorization.

5505087735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The square root of 5505087735 is about 74196.2784444072. The cubic root of 5505087735 is about 1765.7182870950.

The spelling of 5505087735 in words is "five billion, five hundred five million, eighty-seven thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 331 333 555 777 993 1295 1427 1655 1665 2317 2331 2979 3885 4281 4965 6951 7135 9989 11585 11655 12247 12843 14895 20853 21405 29967 34755 36741 49945 52799 61235 64215 85729 89901 104265 110223 149835 158397 183705 257187 263995 369593 428645 449505 472337 475191 551115 771561 791985 1108779 1285935 1417011 1847965 2361685 2375955 3306359 3326337 3857805 4251033 5543895 7085055 9919077 16531795 16631685 17476469 21255165 29757231 49595385 52429407 87382345 122335283 148786155 157288221 262147035 367005849 611676415 786441105 1101017547 1835029245 5505087735