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20331472288 = 2523411933491
BaseRepresentation
bin10010111011110110…
…011010010110100000
31221110221020210202011
4102323312122112200
5313114324103123
613201250002304
71316555443261
oct227366322640
957427223664
1020331472288
11869364a066
123b34b76394
131bc027489a
14dac32c968
157dede4e0d
hex4bbd9a5a0

20331472288 has 96 divisors (see below), whose sum is σ = 43020657792. Its totient is φ = 9434726400.

The previous prime is 20331472267. The next prime is 20331472289. The reversal of 20331472288 is 88227413302.

It is a self number, because there is not a number n which added to its sum of digits gives 20331472288.

It is not an unprimeable number, because it can be changed into a prime (20331472289) 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, 5822223 + ... + 5825713.

It is an arithmetic number, because the mean of its divisors is an integer number (448131852).

Almost surely, 220331472288 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 20331472288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21510328896).

20331472288 is an abundant number, since it is smaller than the sum of its proper divisors (22689185504).

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

20331472288 is a wasteful number, since it uses less digits than its factorization.

20331472288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 20331472288 in words is "twenty billion, three hundred thirty-one million, four hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 193 328 368 386 656 736 772 943 1312 1544 1886 3088 3491 3772 4439 6176 6982 7544 7913 8878 13964 15088 15826 17756 27928 30176 31652 35512 55856 63304 71024 80293 111712 126608 142048 143131 160586 181999 253216 286262 321172 363998 572524 642344 673763 727996 1145048 1284688 1347526 1455992 2290096 2569376 2695052 2911984 3292013 4580192 5390104 5823968 6584026 10780208 13168052 15496549 21560416 26336104 27624283 30993098 52672208 55248566 61986196 105344416 110497132 123972392 220994264 247944784 441988528 495889568 635358509 883977056 1270717018 2541434036 5082868072 10165736144 20331472288