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20053533330 = 23251094334721
BaseRepresentation
bin10010101011010010…
…001010001010010010
31220202120021001011200
4102223102022022102
5312032201031310
613113520452030
71306642135515
oct225322121222
956676231150
1020053533330
118560773446
123a77a7a016
131b777cc36c
14d8345cd7c
157c57e29c0
hex4ab48a292

20053533330 has 96 divisors (see below), whose sum is σ = 52750217520. Its totient is φ = 5285191680.

The previous prime is 20053533233. The next prime is 20053533341. The reversal of 20053533330 is 3333535002.

It can be written as a sum of positive squares in 8 ways, for example, as 6657091281 + 13396442049 = 81591^2 + 115743^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20053533294 and 20053533303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4245370 + ... + 4250090.

Almost surely, 220053533330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20053533330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26375108760).

20053533330 is an abundant number, since it is smaller than the sum of its proper divisors (32696684190).

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

20053533330 is a wasteful number, since it uses less digits than its factorization.

20053533330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 27.

The spelling of 20053533330 in words is "twenty billion, fifty-three million, five hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 433 545 654 866 981 1090 1299 1635 1962 2165 2598 3270 3897 4330 4721 4905 6495 7794 9442 9810 12990 14163 19485 23605 28326 38970 42489 47197 47210 70815 84978 94394 141591 141630 212445 235985 283182 424773 424890 471970 514589 707955 849546 1029178 1415910 1543767 2044193 2123865 2572945 3087534 4088386 4247730 4631301 5145890 6132579 7718835 9262602 10220965 12265158 15437670 18397737 20441930 23156505 30662895 36795474 46313010 61325790 91988685 183977370 222817037 445634074 668451111 1114085185 1336902222 2005353333 2228170370 3342255555 4010706666 6684511110 10026766665 20053533330