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200420042004 = 2232713371679901
BaseRepresentation
bin1011101010100111110…
…1110010010100010100
3201011022121200000210200
42322221331302110110
511240430012321004
6232023253020500
720323411151160
oct2725175622424
9634277600720
10200420042004
1177aa7985a56
1232a14324730
1315b9035a040
1499b3bc1ca0
155330296239
hex2ea9f72514

200420042004 has 288 divisors, whose sum is σ = 644280838656. Its totient is φ = 51116313600.

The previous prime is 200420041979. The next prime is 200420042027. The reversal of 200420042004 is 400240024002.

200420042004 is a `hidden beast` number, since 200 + 42 + 0 + 0 + 420 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

200420042004 is a modest number, since divided by 20042004 gives 2004 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20237454 + ... + 20247354.

Almost surely, 2200420042004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200420042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322140419328).

200420042004 is an abundant number, since it is smaller than the sum of its proper divisors (443860796652).

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

200420042004 is a wasteful number, since it uses less digits than its factorization.

200420042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135 (or 10130 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 200420042004 its reverse (400240024002), we get a palindrome (600660066006).

The spelling of 200420042004 in words is "two hundred billion, four hundred twenty million, forty-two thousand, four".