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556663163100 = 2235211571129537
BaseRepresentation
bin10000001100110111011…
…01011100100011011100
31222012211210221122021220
420012123231130203130
533110021232204400
61103421051253340
755134426546522
oct10063355344334
91865753848256
10556663163100
111a5096930610
128ba7544a250
1340654498a55
141cd2a86c312
15e7304587a0
hex819bb5c8dc

556663163100 has 144 divisors (see below), whose sum is σ = 1757398519296. Its totient is φ = 134920448000.

The previous prime is 556663163027. The next prime is 556663163101. The reversal of 556663163100 is 1361366655.

556663163100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5566631631002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556663163101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18831532 + ... + 18861068.

It is an arithmetic number, because the mean of its divisors is an integer number (12204156384).

Almost surely, 2556663163100 is an apocalyptic number.

556663163100 is a gapful number since it is divisible by the number (50) 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 556663163100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878699259648).

556663163100 is an abundant number, since it is smaller than the sum of its proper divisors (1200735356196).

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

556663163100 is a wasteful number, since it uses less digits than its factorization.

556663163100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35276 (or 35269 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 556663163100 in words is "five hundred fifty-six billion, six hundred sixty-three million, one hundred sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 5711 11422 17133 22844 28555 29537 34266 57110 59074 62821 68532 85665 88611 114220 118148 125642 142775 147685 171330 177222 188463 251284 285550 295370 314105 324907 342660 354444 376926 428325 443055 571100 590740 628210 649814 738425 753852 856650 886110 942315 974721 1256420 1299628 1476850 1570525 1624535 1713300 1772220 1884630 1949442 2215275 2953700 3141050 3249070 3769260 3898884 4430550 4711575 4873605 6282100 6498140 8122675 8861100 9423150 9747210 16245350 18846300 19494420 24368025 32490700 48736050 97472100 168685807 337371614 506057421 674743228 843429035 1012114842 1686858070 1855543877 2024229684 2530287105 3373716140 3711087754 4217145175 5060574210 5566631631 7422175508 8434290350 9277719385 10121148420 11133263262 12651435525 16868580700 18555438770 22266526524 25302871050 27833158155 37110877540 46388596925 50605742100 55666316310 92777193850 111332632620 139165790775 185554387700 278331581550 556663163100