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200364040400 = 2452618211641
BaseRepresentation
bin1011101010011010100…
…0001010000011010000
3201011011201021212001012
42322212220022003100
511240321143243100
6232013532430052
720322131146166
oct2724650120320
9634151255035
10200364040400
1177a79306137
12329b9618328
1315b8187ccb4
1499aa5a5236
15532a3d3135
hex2ea6a0a0d0

200364040400 has 60 divisors (see below), whose sum is σ = 489266053644. Its totient is φ = 78831744000.

The previous prime is 200364040379. The next prime is 200364040451. The reversal of 200364040400 is 4040463002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2581046416 + 197782993984 = 50804^2 + 444728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4081421 + ... + 4130220.

Almost surely, 2200364040400 is an apocalyptic number.

200364040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200364040400 is an abundant number, since it is smaller than the sum of its proper divisors (288902013244).

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

200364040400 is a wasteful number, since it uses less digits than its factorization.

200364040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211720 (or 8211709 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The spelling of 200364040400 in words is "two hundred billion, three hundred sixty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 488 610 976 1220 1525 2440 3050 4880 6100 12200 24400 8211641 16423282 32846564 41058205 65693128 82116410 131386256 164232820 205291025 328465640 410582050 500910101 656931280 821164100 1001820202 1642328200 2003640404 2504550505 3284656400 4007280808 5009101010 8014561616 10018202020 12522752525 20036404040 25045505050 40072808080 50091010100 100182020200 200364040400