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3905000099 = 71113192379113
BaseRepresentation
bin1110100011000001…
…1001001010100011
3101002010221120002022
43220300121022203
530444140000344
61443253412055
7165524644640
oct35060311243
911063846068
103905000099
1117242a8410
1290b93a02b
134a303ba60
142908a4dc7
1517cc5c0ee
hexe8c192a3

3905000099 has 128 divisors (see below), whose sum is σ = 5883494400. Its totient is φ = 2490808320.

The previous prime is 3905000093. The next prime is 3905000107. The reversal of 3905000099 is 9900005093.

It is a Cunningham number, because it is equal to 624902-1.

It is not a de Polignac number, because 3905000099 - 220 = 3903951523 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3905000093) 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, 34557467 + ... + 34557579.

It is an arithmetic number, because the mean of its divisors is an integer number (45964800).

Almost surely, 23905000099 is an apocalyptic number.

3905000099 is a deficient number, since it is larger than the sum of its proper divisors (1978494301).

3905000099 is a wasteful number, since it uses less digits than its factorization.

3905000099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 10935, while the sum is 35.

The square root of 3905000099 is about 62489.9999919987. Note that the first 5 decimals coincide. The cubic root of 3905000099 is about 1574.7333182808.

The spelling of 3905000099 in words is "three billion, nine hundred five million, ninety-nine", and thus it is an aban number.

Divisors: 1 7 11 13 19 23 77 79 91 113 133 143 161 209 247 253 299 437 553 791 869 1001 1027 1243 1463 1469 1501 1729 1771 1817 2093 2147 2599 2717 3059 3289 4807 5681 6083 7189 8701 8927 10283 10507 11297 12719 15029 16159 16511 18193 19019 19513 19987 23023 23617 23621 27911 28589 33649 33787 34523 39767 49381 62489 62491 79079 98197 113113 115577 116051 136591 139909 165319 165347 169613 195377 200123 205321 214643 236509 241661 259831 307021 345667 371657 379753 437437 448799 543191 641953 687379 812357 1187291 1276561 1437247 1502501 1818817 1865743 2149147 2204969 2258531 2601599 2658271 2669173 3141593 3802337 3901099 4493671 4936789 7061483 8935927 13060201 15434783 15809717 18684211 24254659 27307693 29360903 34557523 42912089 49430381 50714287 169782613 205526321 300384623 355000009 557857157 3905000099