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206378508120 = 23352959304169
BaseRepresentation
bin1100000000110100011…
…1100001111101011000
3201201200212120110200220
43000031013201331120
511340130344224440
6234450423400040
720624152242411
oct3001507417530
9651625513626
10206378508120
117a585318814
1233bb78b3020
13165cc943035
149dbb29c808
15557d4278d0
hex300d1e1f58

206378508120 has 64 divisors (see below), whose sum is σ = 640485036000. Its totient is φ = 53136534528.

The previous prime is 206378508113. The next prime is 206378508143. The reversal of 206378508120 is 21805873602.

It is a super-2 number, since 2×2063785081202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 29648605 + ... + 29655564.

Almost surely, 2206378508120 is an apocalyptic number.

206378508120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206378508120 is an abundant number, since it is smaller than the sum of its proper divisors (434106527880).

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

206378508120 is a wasteful number, since it uses less digits than its factorization.

206378508120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59304212 (or 59304208 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 206378508120 in words is "two hundred six billion, three hundred seventy-eight million, five hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 59304169 118608338 177912507 237216676 296520845 355825014 474433352 593041690 711650028 889562535 1186083380 1423300056 1719820901 1779125070 2372166760 3439641802 3558250140 5159462703 6879283604 7116500280 8599104505 10318925406 13758567208 17198209010 20637850812 25797313515 34396418020 41275701624 51594627030 68792836040 103189254060 206378508120