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204404004020 = 225101615116451
BaseRepresentation
bin1011111001011101101…
…1011001010010110100
3201112121021012021021102
42332113123121102310
511322104411112040
6233522451105232
720524215236606
oct2762733312264
9645537167242
10204404004020
1179761805647
12337465a2218
1316376854808
149c70d5d176
1554b4dee515
hex2f976d94b4

204404004020 has 48 divisors (see below), whose sum is σ = 433595223936. Its totient is φ = 80934000000.

The previous prime is 204404004011. The next prime is 204404004023. The reversal of 204404004020 is 20400404402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204404003983 and 204404004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204404004023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12416795 + ... + 12433245.

It is an arithmetic number, because the mean of its divisors is an integer number (9033233832).

Almost surely, 2204404004020 is an apocalyptic number.

204404004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204404004020 is an abundant number, since it is smaller than the sum of its proper divisors (229191219916).

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

204404004020 is a wasteful number, since it uses less digits than its factorization.

204404004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22712 (or 22710 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204404004020 its reverse (20400404402), we get a palindrome (224804408422).

The spelling of 204404004020 in words is "two hundred four billion, four hundred four million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 6151 12302 16451 24604 30755 32902 61510 65804 82255 123020 164510 329020 621251 1242502 1661551 2485004 3106255 3323102 6212510 6646204 8307755 12425020 16615510 33231020 101190101 202380202 404760404 505950505 1011901010 2023802020 10220200201 20440400402 40880800804 51101001005 102202002010 204404004020