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420532525234300 = 225247502871779287
BaseRepresentation
bin101111110011110001101101…
…1110010000111100001111100
32001010222111221201220102122111
41133213203123302013201330
5420110001102424444200
64050221550341023404
7154402321001530603
oct13747433362074174
92033874851812574
10420532525234300
11111aa392a264056
123b1ba02b9b4b64
131508607c26a80b
1475bbc50672a3a
1533940392840ba
hex17e78dbc8787c

420532525234300 has 72 divisors (see below), whose sum is σ = 931990712776704. Its totient is φ = 164630643464640.

The previous prime is 420532525234201. The next prime is 420532525234303. The reversal of 420532525234300 is 3432525235024.

It is a super-3 number, since 3×4205325252343003 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420532525234303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235459257 + ... + 237238543.

It is an arithmetic number, because the mean of its divisors is an integer number (12944315455232).

Almost surely, 2420532525234300 is an apocalyptic number.

It is an amenable number.

420532525234300 is an abundant number, since it is smaller than the sum of its proper divisors (511458187542404).

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

420532525234300 is a wasteful number, since it uses less digits than its factorization.

420532525234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829635 (or 1829628 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 420532525234300 in words is "four hundred twenty trillion, five hundred thirty-two billion, five hundred twenty-five million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 50287 100574 201148 251435 502870 1005740 1257175 1779287 2363489 2514350 3558574 4726978 5028700 7117148 8896435 9453956 11817445 17792870 23634890 35585740 44482175 47269780 59087225 83626489 88964350 118174450 167252978 177928700 236348900 334505956 418132445 836264890 1672529780 2090662225 4181324450 8362648900 89475005369 178950010738 357900021476 447375026845 894750053690 1789500107380 2236875134225 4205325252343 4473750268450 8410650504686 8947500536900 16821301009372 21026626261715 42053252523430 84106505046860 105133131308575 210266262617150 420532525234300