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206415363040 = 2554330002233
BaseRepresentation
bin1100000000111101010…
…0000111101111100000
3201201210102220220010221
43000033110013233200
511340214313104130
6234454221332424
720625110431225
oct3001724075740
9651712826127
10206415363040
117a5a4100427
1234008107114
1316607478193
149dc213394c
1555817a787a
hex300f507be0

206415363040 has 48 divisors (see below), whose sum is σ = 498997155888. Its totient is φ = 80645999616.

The previous prime is 206415363017. The next prime is 206415363047. The reversal of 206415363040 is 40363514602.

It is a junction number, because it is equal to n+sod(n) for n = 206415362987 and 206415363005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206415363047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14994237 + ... + 15007996.

It is an arithmetic number, because the mean of its divisors is an integer number (10395774081).

Almost surely, 2206415363040 is an apocalyptic number.

206415363040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206415363040 is an abundant number, since it is smaller than the sum of its proper divisors (292581792848).

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

206415363040 is a wasteful number, since it uses less digits than its factorization.

206415363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30002291 (or 30002283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 206415363040 its reverse (40363514602), we get a palindrome (246778877642).

The spelling of 206415363040 in words is "two hundred six billion, four hundred fifteen million, three hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 30002233 60004466 120008932 150011165 240017864 300022330 480035728 600044660 960071456 1200089320 1290096019 2400178640 2580192038 4800357280 5160384076 6450480095 10320768152 12900960190 20641536304 25801920380 41283072608 51603840760 103207681520 206415363040