Search a number
-
+
20050000032 = 2531277612161
BaseRepresentation
bin10010101011000100…
…101011100010100000
31220202022121112101210
4102223010223202200
5312030300000112
613113313030120
71306600121406
oct225304534240
956668545353
1020050000032
11855977a867
123a76855340
131b76b6305a
14d82bbd476
157c5345b3c
hex4ab12b8a0

20050000032 has 96 divisors (see below), whose sum is σ = 53139953664. Its totient is φ = 6618931200.

The previous prime is 20050000001. The next prime is 20050000037. The reversal of 20050000032 is 23000005002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20049999972 and 20050000017.

It is not an unprimeable number, because it can be changed into a prime (20050000037) 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, 9277032 + ... + 9279192.

It is an arithmetic number, because the mean of its divisors is an integer number (553541184).

Almost surely, 220050000032 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 20050000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569976832).

20050000032 is an abundant number, since it is smaller than the sum of its proper divisors (33089953632).

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

20050000032 is a wasteful number, since it uses less digits than its factorization.

20050000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

Adding to 20050000032 its reverse (23000005002), we get a palindrome (43050005034).

The spelling of 20050000032 in words is "twenty billion, fifty million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 761 762 1016 1522 1524 2032 2161 2283 3044 3048 4064 4322 4566 6088 6096 6483 8644 9132 12176 12192 12966 17288 18264 24352 25932 34576 36528 51864 69152 73056 96647 103728 193294 207456 274447 289941 386588 548894 579882 773176 823341 1097788 1159764 1546352 1644521 1646682 2195576 2319528 3092704 3289042 3293364 4391152 4639056 4933563 6578084 6586728 8782304 9278112 9867126 13156168 13173456 19734252 26312336 26346912 39468504 52624672 78937008 157874016 208854167 417708334 626562501 835416668 1253125002 1670833336 2506250004 3341666672 5012500008 6683333344 10025000016 20050000032