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202424000409 = 321271973892311
BaseRepresentation
bin1011110010000101101…
…0010001111110011001
3201100111021110122221100
42330201122101332121
511304031021003114
6232554200502013
720424153420411
oct2744132217631
9640437418840
10202424000409
1178936086624
123329347a909
131611c58c047
149b23dcb641
1553eb18b909
hex2f21691f99

202424000409 has 48 divisors (see below), whose sum is σ = 297078312960. Its totient is φ = 132807185280.

The previous prime is 202424000393. The next prime is 202424000411. The reversal of 202424000409 is 904000424202.

It is not a de Polignac number, because 202424000409 - 24 = 202424000393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (202424000209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87590364 + ... + 87592674.

It is an arithmetic number, because the mean of its divisors is an integer number (6189131520).

Almost surely, 2202424000409 is an apocalyptic number.

It is an amenable number.

202424000409 is a deficient number, since it is larger than the sum of its proper divisors (94654312551).

202424000409 is a wasteful number, since it uses less digits than its factorization.

202424000409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 202424000409 in words is "two hundred two billion, four hundred twenty-four million, four hundred nine", and thus it is an aban number.

Divisors: 1 3 9 127 197 381 389 591 1143 1167 1773 2311 3501 6933 20799 25019 49403 75057 76633 148209 225171 229899 293497 444627 455267 689697 880491 898979 1365801 2641473 2696937 4097403 8090811 9732391 29197173 57818909 87591519 114170333 173456727 177098863 342510999 520370181 531296589 1027532997 1593889767 22491555601 67474666803 202424000409