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2755768708 = 22711253103149
BaseRepresentation
bin1010010001000001…
…1011000110000100
321010001110112222201
42210100123012010
521120434044313
61133241404244
7125201435050
oct24420330604
97101415881
102755768708
111194617900
1264aa99684
1334bc11794
141c1dccc60
15111dee0dd
hexa441b184

2755768708 has 144 divisors (see below), whose sum is σ = 6274195200. Its totient is φ = 1036189440.

The previous prime is 2755768699. The next prime is 2755768723. The reversal of 2755768708 is 8078675572.

It is a happy number.

It is a super-2 number, since 2×27557687082 = 15188522343983978528, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18495018 + ... + 18495166.

It is an arithmetic number, because the mean of its divisors is an integer number (43570800).

Almost surely, 22755768708 is an apocalyptic number.

2755768708 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755768708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

2755768708 is an abundant number, since it is smaller than the sum of its proper divisors (3518426492).

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

2755768708 is a wasteful number, since it uses less digits than its factorization.

2755768708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 55.

The square root of 2755768708 is about 52495.4160665481. The cubic root of 2755768708 is about 1401.9986263751.

The spelling of 2755768708 in words is "two billion, seven hundred fifty-five million, seven hundred sixty-eight thousand, seven hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 103 106 121 149 154 206 212 242 298 308 371 412 484 583 596 721 742 847 1043 1133 1166 1442 1484 1639 1694 2086 2266 2332 2884 3278 3388 4081 4172 4532 5459 6413 6556 7897 7931 8162 10918 11473 12463 12826 15347 15794 15862 16324 18029 21836 22946 24926 25652 30694 31588 31724 36058 38213 44891 45892 49852 55279 60049 61388 72116 76426 86867 87241 89782 107429 110558 120098 126203 152852 168817 173734 174482 179564 214858 221116 240196 252406 337634 347468 348964 420343 429716 504812 608069 660539 675268 813391 840686 955537 1181719 1216138 1321078 1626782 1681372 1856987 1911074 2363438 2432276 2642156 3253564 3713974 3822148 4623773 4726876 5693737 6688759 7427948 8947301 9247546 11387474 12998909 13377518 17894602 18495092 22774948 25997818 26755036 35789204 51995636 62631107 98420311 125262214 196840622 250524428 393681244 688942177 1377884354 2755768708