Search a number
-
+
20354916330 = 2335761317569
BaseRepresentation
bin10010111101001111…
…110101111111101010
31221112120100212221000
4102331033311333222
5313141324310310
613203444255430
71320261635250
oct227517657752
957476325830
1020354916330
1186a5901a01
123b409a1576
131bc50927b8
14db14b25d0
157e1ec64c0
hex4bd3f5fea

20354916330 has 128 divisors (see below), whose sum is σ = 62138764800. Its totient is φ = 4644698112.

The previous prime is 20354916319. The next prime is 20354916331. The reversal of 20354916330 is 3361945302.

It is a happy number.

20354916330 is a `hidden beast` number, since 20 + 3 + 549 + 1 + 63 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (20354916331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149786 + ... + 1167354.

It is an arithmetic number, because the mean of its divisors is an integer number (485459100).

Almost surely, 220354916330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20354916330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31069382400).

20354916330 is an abundant number, since it is smaller than the sum of its proper divisors (41783848470).

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

20354916330 is a wasteful number, since it uses less digits than its factorization.

20354916330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18205 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 20354916330 in words is "twenty billion, three hundred fifty-four million, nine hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 613 630 945 1226 1839 1890 3065 3678 4291 5517 6130 8582 9195 11034 12873 16551 17569 18390 21455 25746 27585 33102 35138 38619 42910 52707 55170 64365 77238 82755 87845 105414 115857 122983 128730 158121 165510 175690 193095 231714 245966 263535 316242 368949 386190 474363 527070 579285 614915 737898 790605 948726 1106847 1158570 1229830 1581210 1844745 2213694 2371815 3320541 3689490 4743630 5534235 6641082 10769797 11068470 16602705 21539594 32309391 33205410 53848985 64618782 75388579 96928173 107697970 150777158 161546955 193856346 226165737 290784519 323093910 376942895 452331474 484640865 581569038 678497211 753885790 969281730 1130828685 1356994422 1453922595 2035491633 2261657370 2907845190 3392486055 4070983266 6784972110 10177458165 20354916330