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20334134232 = 2332734997753
BaseRepresentation
bin10010111100000000…
…100100001111011000
31221111010021001020200
4102330000210033120
5313121014243412
613201423022200
71316620201116
oct227400441730
957433231220
1020334134232
1186950a8015
123b35a3a960
131bc09973b9
14dac822ab6
157e026d9dc
hex4bc0243d8

20334134232 has 96 divisors (see below), whose sum is σ = 55945110000. Its totient is φ = 6670937088.

The previous prime is 20334134209. The next prime is 20334134287. The reversal of 20334134232 is 23243143302.

20334134232 is a `hidden beast` number, since 203 + 3 + 413 + 42 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20334134196 and 20334134205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2618868 + ... + 2626620.

Almost surely, 220334134232 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 20334134232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27972555000).

20334134232 is an abundant number, since it is smaller than the sum of its proper divisors (35610975768).

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

20334134232 is a wasteful number, since it uses less digits than its factorization.

20334134232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8337 (or 8330 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20334134232 its reverse (23243143302), we get a palindrome (43577277534).

The spelling of 20334134232 in words is "twenty billion, three hundred thirty-four million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 499 584 657 876 998 1314 1497 1752 1996 2628 2994 3992 4491 5256 5988 7753 8982 11976 15506 17964 23259 31012 35928 36427 46518 62024 69777 72854 93036 109281 139554 145708 186072 218562 279108 291416 327843 437124 558216 565969 655686 874248 1131938 1311372 1697907 2263876 2622744 3395814 3868747 4527752 5093721 6791628 7737494 10187442 11606241 13583256 15474988 20374884 23212482 30949976 34818723 40749768 46424964 69637446 92849928 139274892 278549784 282418531 564837062 847255593 1129674124 1694511186 2259348248 2541766779 3389022372 5083533558 6778044744 10167067116 20334134232