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2000624242000 = 24533313022091
BaseRepresentation
bin11101000111001110011…
…111110100110101010000
321002020221221110122000011
4131013032133310311100
5230234234301221000
64131024000404304
7264353222321416
oct35071637646520
97066857418004
102000624242000
1170150725706a
12283899016694
1311687299a137
146cb8b7472b6
1537092bd82ba
hex1d1ce7f4d50

2000624242000 has 80 divisors (see below), whose sum is σ = 4852125854784. Its totient is φ = 797831760000.

The previous prime is 2000624241991. The next prime is 2000624242007. The reversal of 2000624242000 is 2424260002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000624242007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849046 + ... + 2173045.

Almost surely, 22000624242000 is an apocalyptic number.

2000624242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000624242000 is an abundant number, since it is smaller than the sum of its proper divisors (2851501612784).

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

2000624242000 is a wasteful number, since it uses less digits than its factorization.

2000624242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022445 (or 3022429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The spelling of 2000624242000 in words is "two trillion, six hundred twenty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 331 400 500 662 1000 1324 1655 2000 2648 3310 5296 6620 8275 13240 16550 26480 33100 41375 66200 82750 132400 165500 331000 662000 3022091 6044182 12088364 15110455 24176728 30220910 48353456 60441820 75552275 120883640 151104550 241767280 302209100 377761375 604418200 755522750 1000312121 1208836400 1511045500 2000624242 3022091000 4001248484 5001560605 6044182000 8002496968 10003121210 16004993936 20006242420 25007803025 40012484840 50015606050 80024969680 100031212100 125039015125 200062424200 250078030250 400124848400 500156060500 1000312121000 2000624242000