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200042000406 = 23429244717401
BaseRepresentation
bin1011101001001101101…
…1101011000000010110
3201010100021022112020000
42322103123223000112
511234141223003111
6231521550152130
720311140643113
oct2722333530026
9633307275200
10200042000406
1177923548786
12329297b2646
1315b2cc363a1
1499798d590a
15530bebdc56
hex2e936eb016

200042000406 has 80 divisors (see below), whose sum is σ = 463915045440. Its totient is φ = 64351324800.

The previous prime is 200042000317. The next prime is 200042000407. The reversal of 200042000406 is 604000240002.

200042000406 is a `hidden beast` number, since 200 + 0 + 420 + 0 + 0 + 40 + 6 = 666.

200042000406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200042000407) 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 39 ways as a sum of consecutive naturals, for example, 11487306 + ... + 11504706.

It is an arithmetic number, because the mean of its divisors is an integer number (5798938068).

Almost surely, 2200042000406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200042000406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231957522720).

200042000406 is an abundant number, since it is smaller than the sum of its proper divisors (263873045034).

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

200042000406 is a wasteful number, since it uses less digits than its factorization.

200042000406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19891 (or 19882 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200042000406 its reverse (604000240002), we get a palindrome (804042240408).

The spelling of 200042000406 in words is "two hundred billion, forty-two million, four hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 2447 4698 4894 7341 14682 17401 22023 34802 44046 52203 66069 70963 104406 132138 141926 156609 198207 212889 313218 396414 425778 469827 504629 638667 939654 1009258 1277334 1409481 1513887 1916001 2818962 3027774 3832002 4541661 5748003 9083322 11496006 13624983 27249966 40874949 42580247 81749898 85160494 127740741 255481482 383222223 766444446 1149666669 1234827163 2299333338 2469654326 3449000007 3704481489 6898000014 7408962978 11113444467 22226888934 33340333401 66680666802 100021000203 200042000406