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206555406030 = 232573101311279
BaseRepresentation
bin1100000001011110101…
…0010101111011001110
3201202011012102211000100
43000113222111323032
511341011140443110
6234520143111530
720631430660641
oct3002752257316
9652135384010
10206555406030
117a666161836
1234046ba25a6
131662a49bc5c
149dd6989a58
15558dc1bbc0
hex3017a95ece

206555406030 has 96 divisors (see below), whose sum is σ = 549792696960. Its totient is φ = 53788838400.

The previous prime is 206555405993. The next prime is 206555406077. The reversal of 206555406030 is 30604555602.

It is a happy number.

206555406030 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 5 + 5 + 40 + 603 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507931 + ... + 819209.

It is an arithmetic number, because the mean of its divisors is an integer number (5727007260).

Almost surely, 2206555406030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206555406030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274896348480).

206555406030 is an abundant number, since it is smaller than the sum of its proper divisors (343237290930).

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

206555406030 is a wasteful number, since it uses less digits than its factorization.

206555406030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311466 (or 311463 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 206555406030 in words is "two hundred six billion, five hundred fifty-five million, four hundred six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 101 146 202 219 303 365 438 505 606 657 730 909 1010 1095 1314 1515 1818 2190 3030 3285 4545 6570 7373 9090 14746 22119 36865 44238 66357 73730 110595 132714 221190 311279 331785 622558 663570 933837 1556395 1867674 2801511 3112790 4669185 5603022 9338370 14007555 22723367 28015110 31439179 45446734 62878358 68170101 94317537 113616835 136340202 157195895 188635074 204510303 227233670 282952611 314391790 340850505 409020606 471587685 565905222 681701010 943175370 1022551515 1414763055 2045103030 2295060067 2829526110 4590120134 6885180201 11475300335 13770360402 20655540603 22950600670 34425901005 41311081206 68851802010 103277703015 206555406030