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208242644800 = 2652196850087
BaseRepresentation
bin1100000111110000111…
…0101001011101000000
3201220111210021102111011
43001330032221131000
511402440104113200
6235355414330304
721021306163261
oct3017416513500
9656453242434
10208242644800
11803515a9243
1234438059994
1316838bcaba8
14a116aac968
15563bdee5ba
hex307c3a9740

208242644800 has 84 divisors (see below), whose sum is σ = 539375929120. Its totient is φ = 78912990720.

The previous prime is 208242644791. The next prime is 208242644821. The reversal of 208242644800 is 8446242802.

It is a super-2 number, since 2×2082426448002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3394644 + ... + 3455443.

Almost surely, 2208242644800 is an apocalyptic number.

208242644800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208242644800 is an abundant number, since it is smaller than the sum of its proper divisors (331133284320).

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

208242644800 is a wasteful number, since it uses less digits than its factorization.

208242644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850128 (or 6850113 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 208242644800 in words is "two hundred eight billion, two hundred forty-two million, six hundred forty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400 6850087 13700174 27400348 34250435 54800696 68500870 109601392 130151653 137001740 171252175 219202784 260303306 274003480 342504350 438405568 520606612 548006960 650758265 685008700 1041213224 1096013920 1301516530 1370017400 2082426448 2192027840 2603033060 2740034800 3253791325 4164852896 5206066120 5480069600 6507582650 8329705792 10412132240 10960139200 13015165300 20824264480 26030330600 41648528960 52060661200 104121322400 208242644800