Search a number
-
+
20001032156 = 2272967563653
BaseRepresentation
bin10010101000001001…
…111000011111011100
31220121220110201002202
4102220021320133130
5311430231012111
613104403311032
71305433653050
oct225011703734
956556421082
1020001032156
118534074546
123a6237b478
131b69979691
14d7a4b3c60
157c0dc1b3b
hex4a82787dc

20001032156 has 96 divisors (see below), whose sum is σ = 42138109440. Its totient is φ = 8125818624.

The previous prime is 20001032143. The next prime is 20001032179. The reversal of 20001032156 is 65123010002.

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 31 ways as a sum of consecutive naturals, for example, 30629126 + ... + 30629778.

It is an arithmetic number, because the mean of its divisors is an integer number (438938640).

Almost surely, 220001032156 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 20001032156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21069054720).

20001032156 is an abundant number, since it is smaller than the sum of its proper divisors (22137077284).

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

20001032156 is a wasteful number, since it uses less digits than its factorization.

20001032156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 20001032156 its reverse (65123010002), we get a palindrome (85124042158).

The spelling of 20001032156 in words is "twenty billion, one million, thirty-two thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 58 67 116 134 203 268 406 469 563 653 812 938 1126 1306 1876 1943 2252 2612 3886 3941 4571 7772 7882 9142 13601 15764 16327 18284 18937 27202 32654 37721 37874 43751 54404 65308 75442 75748 87502 114289 132559 150884 175004 228578 264047 265118 306257 367639 457156 528094 530236 612514 735278 1056188 1093909 1225028 1268779 1470556 2187818 2537558 2573473 4375636 5075116 5146946 7657363 8881453 10293892 10661531 15314726 17762906 21323062 24631813 30629452 35525812 42646124 49263626 74630717 98527252 149261434 172422691 298522868 344845382 689690764 714322577 1428645154 2857290308 5000258039 10000516078 20001032156