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427312213724 = 2211174631233851
BaseRepresentation
bin1100011011111011100…
…10101110111011011100
31111211222010022120202002
412031331302232323130
524000113411314344
6524145435421432
742605123613164
oct6157562567334
91454863276662
10427312213724
11155249671860
126a995bb4878
13313abc05056
14169796775a4
15b1ae5a144e
hex637dcaeedc

427312213724 has 48 divisors (see below), whose sum is σ = 865631079936. Its totient is φ = 182412384000.

The previous prime is 427312213721. The next prime is 427312213771.

427312213724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427312213721) 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, 270602 + ... + 963249.

It is an arithmetic number, because the mean of its divisors is an integer number (18033980832).

Almost surely, 2427312213724 is an apocalyptic number.

427312213724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427312213724 is an abundant number, since it is smaller than the sum of its proper divisors (438318866212).

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

427312213724 is a wasteful number, since it uses less digits than its factorization.

427312213724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234346 (or 1234344 counting only the distinct ones).

The product of its digits is 112896, while the sum is 38.

The spelling of 427312213724 in words is "four hundred twenty-seven billion, three hundred twelve million, two hundred thirteen thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 463 748 926 1852 5093 7871 10186 15742 20372 31484 86581 173162 346324 1233851 2467702 4935404 13572361 20975467 27144722 41950934 54289444 83901868 230730137 461460274 571273013 922920548 1142546026 2285092052 6284003143 9711641221 12568006286 19423282442 25136012572 38846564884 106828053431 213656106862 427312213724