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33080055800 = 235211107140527
BaseRepresentation
bin11110110011101110…
…011001011111111000
310011101101221221121212
4132303232121133320
51020221443241200
623110300222252
72250516556241
oct366356313770
9104341857555
1033080055800
11130359135a0
1264b253a988
13317252921c
14185b52dcc8
15cd9233035
hex7b3b997f8

33080055800 has 96 divisors (see below), whose sum is σ = 84687793920. Its totient is φ = 11916604800.

The previous prime is 33080055797. The next prime is 33080055821. The reversal of 33080055800 is 855008033.

It is a super-3 number, since 3×330800558003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165137 + ... + 305663.

It is an arithmetic number, because the mean of its divisors is an integer number (882164520).

Almost surely, 233080055800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33080055800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343896960).

33080055800 is an abundant number, since it is smaller than the sum of its proper divisors (51607738120).

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

33080055800 is a wasteful number, since it uses less digits than its factorization.

33080055800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140661 (or 140652 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 33080055800 in words is "thirty-three billion, eighty million, fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 107 110 200 214 220 275 428 440 535 550 856 1070 1100 1177 2140 2200 2354 2675 4280 4708 5350 5885 9416 10700 11770 21400 23540 29425 47080 58850 117700 140527 235400 281054 562108 702635 1124216 1405270 1545797 2810540 3091594 3513175 5621080 6183188 7026350 7728985 12366376 14052700 15036389 15457970 28105400 30072778 30915940 38644925 60145556 61831880 75181945 77289850 120291112 150363890 154579700 165400279 300727780 309159400 330800558 375909725 601455560 661601116 751819450 827001395 1323202232 1503638900 1654002790 3007277800 3308005580 4135006975 6616011160 8270013950 16540027900 33080055800