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420064285806 = 2321123913016823
BaseRepresentation
bin1100001110011011100…
…10000101010001101110
31111011021000001200210100
412013031302011101232
523340242424121211
6520550323251530
742230404342044
oct6071562052156
91434230050710
10420064285806
1115216a37a290
12694b2819ba6
13307c54338c9
141648cc20394
15add8112156
hex61cdc8546e

420064285806 has 96 divisors (see below), whose sum is σ = 997946127360. Its totient is φ = 126643608000.

The previous prime is 420064285801. The next prime is 420064285813. The reversal of 420064285806 is 608582460024.

420064285806 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 64 + 2 + 8 + 580 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420064285801) 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 47 ways as a sum of consecutive naturals, for example, 61562511 + ... + 61569333.

It is an arithmetic number, because the mean of its divisors is an integer number (10395272160).

Almost surely, 2420064285806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420064285806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498973063680).

420064285806 is an abundant number, since it is smaller than the sum of its proper divisors (577881841554).

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

420064285806 is a wasteful number, since it uses less digits than its factorization.

420064285806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 420064285806 in words is "four hundred twenty billion, sixty-four million, two hundred eighty-five thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 239 478 717 1301 1434 2151 2602 2629 3903 4302 5258 6823 7806 7887 11709 13646 14311 15774 20469 23418 23661 28622 40938 42933 47322 61407 75053 85866 122814 128799 150106 225159 257598 310939 450318 621878 675477 932817 1350954 1630697 1865634 2798451 3261394 3420329 4892091 5596902 6840658 8876723 9784182 10260987 14676273 17753446 17937667 20521974 26630169 29352546 30782961 35875334 53260338 53813001 61565922 79890507 97643953 107626002 159781014 161439003 195287906 292931859 322878006 585863718 878795577 1757591154 2121536797 4243073594 6364610391 12729220782 19093831173 23336904767 38187662346 46673809534 70010714301 140021428602 210032142903 420064285806