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420821394012 = 223748104869
BaseRepresentation
bin1100001111110101110…
…10001110001001011100
31111020012202200210000000
412013322322032021130
523343320234102022
6521153410534300
742255226554435
oct6077272161134
91436182623000
10420821394012
11152518784948
1269684297390
13308b6249926
14165215c248c
15ae2e8156ac
hex61fae8e25c

420821394012 has 48 divisors (see below), whose sum is σ = 1104487815200. Its totient is φ = 140273795088.

The previous prime is 420821394001. The next prime is 420821394013. The reversal of 420821394012 is 210493128024.

420821394012 is a `hidden beast` number, since 42 + 0 + 82 + 139 + 401 + 2 = 666.

It is a super-2 number, since 2×4208213940122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420821394013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24043687 + ... + 24061182.

Almost surely, 2420821394012 is an apocalyptic number.

It is an amenable number.

420821394012 is an abundant number, since it is smaller than the sum of its proper divisors (683666421188).

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

420821394012 is an equidigital number, since it uses as much as digits as its factorization.

420821394012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48104894 (or 48104874 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 420821394012 in words is "four hundred twenty billion, eight hundred twenty-one million, three hundred ninety-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 8748 48104869 96209738 144314607 192419476 288629214 432943821 577258428 865887642 1298831463 1731775284 2597662926 3896494389 5195325852 7792988778 11689483167 15585977556 23378966334 35068449501 46757932668 70136899002 105205348503 140273798004 210410697006 420821394012