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12005450304 = 263199314213
BaseRepresentation
bin10110010111001010…
…01010001001000000
31010222200101001202120
423023211022021000
5144041343402204
65303142244240
7603335433561
oct131345121100
933880331676
1012005450304
115100844561
1223b0726680
131194322563
1481c63a168
154a3e9a6d9
hex2cb94a240

12005450304 has 56 divisors (see below), whose sum is σ = 31924142400. Its totient is φ = 3981694464.

The previous prime is 12005450293. The next prime is 12005450339. The reversal of 12005450304 is 40305450021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118899 + ... + 195314.

Almost surely, 212005450304 is an apocalyptic number.

It is an amenable number.

12005450304 is an abundant number, since it is smaller than the sum of its proper divisors (19918692096).

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

12005450304 is a wasteful number, since it uses less digits than its factorization.

12005450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314427 (or 314417 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 12005450304 in words is "twelve billion, five million, four hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 199 398 597 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 38208 314213 628426 942639 1256852 1885278 2513704 3770556 5027408 7541112 10054816 15082224 20109632 30164448 60328896 62528387 125056774 187585161 250113548 375170322 500227096 750340644 1000454192 1500681288 2000908384 3001362576 4001816768 6002725152 12005450304