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427585906764 = 2232421201114029
BaseRepresentation
bin1100011100011100001…
…10110010100001001100
31111212200012022122000100
412032032012302201030
524001143443004024
6524232533531100
742614656145112
oct6161606624114
91455605278010
10427585906764
1115537a108455
126aa517a3a90
1331423821ab3
14169a3b5dab2
15b1c86157c9
hex638e1b284c

427585906764 has 72 divisors (see below), whose sum is σ = 1084025480720. Its totient is φ = 142109251200.

The previous prime is 427585906691. The next prime is 427585906789. The reversal of 427585906764 is 467609585724.

427585906764 is a `hidden beast` number, since 42 + 7 + 585 + 9 + 0 + 6 + 7 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30471702 + ... + 30485730.

Almost surely, 2427585906764 is an apocalyptic number.

It is an amenable number.

427585906764 is an abundant number, since it is smaller than the sum of its proper divisors (656439573956).

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

427585906764 is a wasteful number, since it uses less digits than its factorization.

427585906764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16471 (or 16466 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 427585906764 in words is "four hundred twenty-seven billion, five hundred eighty-five million, nine hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2011 2526 3789 4022 5052 6033 7578 8044 12066 14029 15156 18099 24132 28058 36198 42087 56116 72396 84174 126261 168348 252522 505044 846631 1693262 2539893 3386524 5079786 5906209 7619679 10159572 11812418 15239358 17718627 23624836 28212319 30478716 35437254 53155881 56424638 70874508 84636957 106311762 112849276 169273914 212623524 253910871 338547828 507821742 1015643484 11877386299 23754772598 35632158897 47509545196 71264317794 106896476691 142528635588 213792953382 427585906764