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200947749840 = 243251914689163
BaseRepresentation
bin1011101100100101101…
…0110101001111010000
3201012200101122100212100
42323021122311033100
511243020110443330
6232151503400400
720342446456035
oct2731132651720
9635611570770
10200947749840
1178248847732
1232b40bb3100
1315c457939b6
149a23d0b38c
155361784060
hex2ec96b53d0

200947749840 has 120 divisors (see below), whose sum is σ = 710367971040. Its totient is φ = 50765743872.

The previous prime is 200947749829. The next prime is 200947749901. The reversal of 200947749840 is 48947749002.

It is a happy number.

200947749840 is a `hidden beast` number, since 20 + 0 + 94 + 7 + 7 + 498 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2009477498403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7330902 + ... + 7358261.

It is an arithmetic number, because the mean of its divisors is an integer number (5919733092).

Almost surely, 2200947749840 is an apocalyptic number.

200947749840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200947749840 is an abundant number, since it is smaller than the sum of its proper divisors (509420221200).

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

200947749840 is a wasteful number, since it uses less digits than its factorization.

200947749840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14689201 (or 14689192 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 200947749840 in words is "two hundred billion, nine hundred forty-seven million, seven hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 14689163 29378326 44067489 58756652 73445815 88134978 117513304 132202467 146891630 176269956 220337445 235026608 264404934 279094097 293783260 352539912 440674890 528809868 558188194 587566520 661012335 705079824 837282291 881349780 1057619736 1116376388 1175133040 1322024670 1395470485 1674564582 1762699560 2115239472 2232752776 2511846873 2644049340 2790940970 3349129164 3525399120 4186411455 4465505552 5023693746 5288098680 5581881940 6698258328 8372822910 10047387492 10576197360 11163763880 12559234365 13396516656 16745645820 20094774984 22327527760 25118468730 33491291640 40189549968 50236937460 66982583280 100473874920 200947749840