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20631433230 = 23251637871787
BaseRepresentation
bin10011001101101110…
…101011000000001110
31222020211200101210200
4103031232223000032
5314223121330410
613251123114330
71330160201052
oct231556530016
958224611720
1020631433230
1188279a7171
123bb95129a6
131c3a45a975
14dda0d1c62
1580b3e73c0
hex4cdbab00e

20631433230 has 96 divisors (see below), whose sum is σ = 54069634944. Its totient is φ = 5457958848.

The previous prime is 20631433219. The next prime is 20631433259. The reversal of 20631433230 is 3233413602.

It is a happy number.

20631433230 is a `hidden beast` number, since 2 + 0 + 631 + 4 + 3 + 3 + 23 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20631433194 and 20631433203.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11544397 + ... + 11546183.

It is an arithmetic number, because the mean of its divisors is an integer number (563225364).

Almost surely, 220631433230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20631433230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27034817472).

20631433230 is an abundant number, since it is smaller than the sum of its proper divisors (33438201714).

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

20631433230 is a wasteful number, since it uses less digits than its factorization.

20631433230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20631433230 its reverse (3233413602), we get a palindrome (23864846832).

The spelling of 20631433230 in words is "twenty billion, six hundred thirty-one million, four hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 787 815 978 1467 1574 1630 1787 2361 2445 2934 3574 3935 4722 4890 5361 7083 7335 7870 8935 10722 11805 14166 14670 16083 17870 23610 26805 32166 35415 53610 70830 80415 128281 160830 256562 291281 384843 582562 641405 769686 873843 1154529 1282810 1406369 1456405 1747686 1924215 2309058 2621529 2812738 2912810 3848430 4219107 4369215 5243058 5772645 7031845 8438214 8738430 11545290 12657321 13107645 14063690 21095535 25314642 26215290 42191070 63286605 126573210 229238147 458476294 687714441 1146190735 1375428882 2063143323 2292381470 3438572205 4126286646 6877144410 10315716615 20631433230