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427483344204 = 22337769735311
BaseRepresentation
bin1100011100001111111…
…11100010110101001100
31111212102001022220122000
412032013333202311030
524000441214003304
6524214431352300
742612302320650
oct6160777426514
91455361286560
10427483344204
11155327226704
126aa23382690
13314084c1aa7
14169942a2a60
15b1be606939
hex6387fe2d4c

427483344204 has 96 divisors (see below), whose sum is σ = 1268266137600. Its totient is φ = 121979105280.

The previous prime is 427483344191. The next prime is 427483344209. The reversal of 427483344204 is 402443384724.

It is a happy number.

427483344204 is a `hidden beast` number, since 4 + 27 + 4 + 83 + 344 + 204 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 427483344204.

It is not an unprimeable number, because it can be changed into a prime (427483344209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213709 + ... + 949019.

It is an arithmetic number, because the mean of its divisors is an integer number (13211105600).

Almost surely, 2427483344204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427483344204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634133068800).

427483344204 is an abundant number, since it is smaller than the sum of its proper divisors (840782793396).

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

427483344204 is a wasteful number, since it uses less digits than its factorization.

427483344204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736100 (or 736092 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 427483344204 in words is "four hundred twenty-seven billion, four hundred eighty-three million, three hundred forty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 769 1538 2307 3076 4614 5383 6921 9228 10766 13842 16149 20763 21532 27684 32298 41526 48447 64596 83052 96894 145341 193788 290682 581364 735311 1470622 2205933 2941244 4411866 5147177 6617799 8823732 10294354 13235598 15441531 19853397 20588708 26471196 30883062 39706794 46324593 61766124 79413588 92649186 138973779 185298372 277947558 555895116 565454159 1130908318 1696362477 2261816636 3392724954 3958179113 5089087431 6785449908 7916358226 10178174862 11874537339 15267262293 15832716452 20356349724 23749074678 30534524586 35623612017 47498149356 61069049172 71247224034 106870836051 142494448068 213741672102 427483344204