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206452310540 = 22573244112329
BaseRepresentation
bin1100000001000110000…
…1000100001000001100
3201201220000110000120212
43000101201010020030
511340303242414130
6234502021301552
720626036454000
oct3002141041014
9651800400525
10206452310540
117a612a46653
12340185648b8
13166120134c8
149dc6dd0700
155584b54e95
hex301184420c

206452310540 has 96 divisors (see below), whose sum is σ = 505845648000. Its totient is φ = 70748912640.

The previous prime is 206452310521. The next prime is 206452310567. The reversal of 206452310540 is 45013254602.

It is a junction number, because it is equal to n+sod(n) for n = 206452310497 and 206452310506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16739096 + ... + 16751424.

It is an arithmetic number, because the mean of its divisors is an integer number (5269225500).

Almost surely, 2206452310540 is an apocalyptic number.

206452310540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206452310540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252922824000).

206452310540 is an abundant number, since it is smaller than the sum of its proper divisors (299393337460).

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

206452310540 is a wasteful number, since it uses less digits than its factorization.

206452310540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14800 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 206452310540 in words is "two hundred six billion, four hundred fifty-two million, three hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2441 3430 4882 6860 9764 12205 12329 17087 24410 24658 34174 48820 49316 61645 68348 85435 86303 119609 123290 170870 172606 239218 246580 341740 345212 431515 478436 598045 604121 837263 863030 1196090 1208242 1674526 1726060 2392180 2416484 3020605 3349052 4186315 4228847 6041210 8372630 8457694 12082420 16745260 16915388 21144235 30095089 42288470 60190178 84576940 120380356 150475445 210665623 300950890 421331246 601901780 842662492 1053328115 1474659361 2106656230 2949318722 4213312460 5898637444 7373296805 10322615527 14746593610 20645231054 29493187220 41290462108 51613077635 103226155270 206452310540