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11588117420 = 22511268719603
BaseRepresentation
bin10101100101011010…
…01010001110101100
31002220121002100200002
422302231022032230
5142213024224140
65153513323432
7560110241615
oct126255121654
932817070602
1011588117420
114a07210150
1222b4a06578
131128a22819
147bd042c0c
1547c511415
hex2b2b4a3ac

11588117420 has 48 divisors (see below), whose sum is σ = 26558558208. Its totient is φ = 4212077760.

The previous prime is 11588117417. The next prime is 11588117491. The reversal of 11588117420 is 2471188511.

It is a happy number.

11588117420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581339 + ... + 600941.

It is an arithmetic number, because the mean of its divisors is an integer number (553303296).

Almost surely, 211588117420 is an apocalyptic number.

11588117420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11588117420 is an abundant number, since it is smaller than the sum of its proper divisors (14970440788).

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

11588117420 is a wasteful number, since it uses less digits than its factorization.

11588117420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22310 (or 22308 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 38.

The spelling of 11588117420 in words is "eleven billion, five hundred eighty-eight million, one hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2687 5374 10748 13435 19603 26870 29557 39206 53740 59114 78412 98015 118228 147785 196030 215633 295570 392060 431266 591140 862532 1078165 2156330 4312660 52673261 105346522 210693044 263366305 526732610 579405871 1053465220 1158811742 2317623484 2897029355 5794058710 11588117420