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200204420024 = 2376778767801
BaseRepresentation
bin1011101001110100011…
…1010000001110111000
3201010202120221022001102
42322131013100032320
511240004312420044
6231550031310532
720315152330520
oct2723507201670
9633676838042
10200204420024
11779a71a2a74
123297407b448
1315b5779327b
1499932d4680
15531b3a324e
hex2e9d1d03b8

200204420024 has 64 divisors (see below), whose sum is σ = 435972284160. Its totient is φ = 84412627200.

The previous prime is 200204419997. The next prime is 200204420029. The reversal of 200204420024 is 420024402002.

200204420024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200204419978 and 200204420005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200204420029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2918924 + ... + 2986724.

It is an arithmetic number, because the mean of its divisors is an integer number (6812066940).

Almost surely, 2200204420024 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 200204420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217986142080).

200204420024 is an abundant number, since it is smaller than the sum of its proper divisors (235767864136).

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

200204420024 is a wasteful number, since it uses less digits than its factorization.

200204420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68668 (or 68664 counting only the distinct ones).

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

Adding to 200204420024 its reverse (420024402002), we get a palindrome (620228822026).

The spelling of 200204420024 in words is "two hundred billion, two hundred four million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 67 134 268 469 536 787 938 1574 1876 3148 3752 5509 6296 11018 22036 44072 52729 67801 105458 135602 210916 271204 369103 421832 474607 542408 738206 949214 1476412 1898428 2952824 3796856 4542667 9085334 18170668 31798669 36341336 53359387 63597338 106718774 127194676 213437548 254389352 373515709 426875096 747031418 1494062836 2988125672 3575078929 7150157858 14300315716 25025552503 28600631432 50051105006 100102210012 200204420024