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5755555575 = 3352711210067
BaseRepresentation
bin1010101110000111…
…01100111011110111
3112212010002111222000
411113003230323313
543241410234300
62351041310343
7262425262260
oct52703547367
915763074860
105755555575
112493952100
1211476353b3
1370954ccb3
143c857b967
1523a44ec00
hex1570ecef7

5755555575 has 144 divisors (see below), whose sum is σ = 13283316480. Its totient is φ = 2391681600.

The previous prime is 5755555529. The next prime is 5755555577.

5755555575 is nontrivially palindromic in base 10.

5755555575 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 5755555575 - 217 = 5755424503 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755555577) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566692 + ... + 576758.

Almost surely, 25755555575 is an apocalyptic number.

5755555575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5755555575 is an abundant number, since it is smaller than the sum of its proper divisors (7527760905).

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

5755555575 is a wasteful number, since it uses less digits than its factorization.

5755555575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115 (or 10093 counting only the distinct ones).

The product of its digits is 19140625, while the sum is 54.

The square root of 5755555575 is about 75865.3779730913. The cubic root of 5755555575 is about 1792.1007321363.

The spelling of 5755555575 in words is "five billion, seven hundred fifty-five million, five hundred fifty-five thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 121 135 165 175 189 225 231 275 297 315 363 385 495 525 605 675 693 825 847 945 1089 1155 1485 1575 1815 1925 2079 2475 2541 3025 3267 3465 4235 4725 5445 5775 7425 7623 9075 10067 10395 12705 16335 17325 21175 22869 27225 30201 38115 50335 51975 63525 70469 81675 90603 110737 114345 151005 190575 211407 251675 271809 332211 352345 453015 553685 571725 634221 755025 775159 996633 1057035 1218107 1359045 1661055 1761725 1902663 2265075 2325477 2768425 2989899 3171105 3654321 3875795 4983165 5285175 6090535 6795225 6976431 8305275 8526749 9513315 10962963 11627385 14949495 15855525 18271605 19378975 20929293 24915825 25580247 30452675 32888889 34882155 42633745 47566575 54814815 58136925 74747475 76740741 91358025 104646465 127901235 164444445 174410775 213168725 230222223 274074075 383703705 523232325 639506175 822222225 1151111115 1918518525 5755555575