Search a number
-
+
20334968608 = 2517131433659
BaseRepresentation
bin10010111100000011…
…101111111100100000
31221111011211102210111
4102330003233330200
5313121222443413
613201452541104
71316630244523
oct227403577440
957434742714
1020334968608
118695617989
123b36181794
131bc0bca106
14dac99cbba
157e0385d3d
hex4bc0eff20

20334968608 has 96 divisors (see below), whose sum is σ = 42876630720. Its totient is φ = 9460039680.

The previous prime is 20334968581. The next prime is 20334968711. The reversal of 20334968608 is 80686943302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30856983 + ... + 30857641.

It is an arithmetic number, because the mean of its divisors is an integer number (446631570).

Almost surely, 220334968608 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 20334968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438315360).

20334968608 is an abundant number, since it is smaller than the sum of its proper divisors (22541662112).

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

20334968608 is a wasteful number, since it uses less digits than its factorization.

20334968608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 20334968608 in words is "twenty billion, three hundred thirty-four million, nine hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 131 136 262 272 433 524 544 659 866 1048 1318 1732 2096 2227 2636 3464 4192 4454 5272 6928 7361 8908 10544 11203 13856 14722 17816 21088 22406 29444 35632 44812 56723 58888 71264 86329 89624 113446 117776 172658 179248 226892 235552 285347 345316 358496 453784 570694 690632 907568 964291 1141388 1381264 1467593 1815136 1928582 2282776 2762528 2935186 3857164 4565552 4850899 5870372 7714328 9131104 9701798 11740744 15428656 19403596 23481488 30857312 37380457 38807192 46962976 74760914 77614384 149521828 155228768 299043656 598087312 635467769 1196174624 1270935538 2541871076 5083742152 10167484304 20334968608