Search a number
-
+
13753362920 = 2351161950497
BaseRepresentation
bin11001100111100001…
…11010100111101000
31022111111101020002212
430303300322213220
5211131330103140
610152422144252
7664551440663
oct146360724750
938444336085
1013753362920
115918462140
1227b9b82088
1313b24a608b
149468346da
15557665765
hex333c3a9e8

13753362920 has 64 divisors (see below), whose sum is σ = 33813460800. Its totient is φ = 4993044480.

The previous prime is 13753362911. The next prime is 13753362937. The reversal of 13753362920 is 2926335731.

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, 247112 + ... + 297608.

It is an arithmetic number, because the mean of its divisors is an integer number (528335325).

Almost surely, 213753362920 is an apocalyptic number.

13753362920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13753362920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906730400).

13753362920 is an abundant number, since it is smaller than the sum of its proper divisors (20060097880).

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

13753362920 is a wasteful number, since it uses less digits than its factorization.

13753362920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51138 (or 51134 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

It can be divided in two parts, 13753 and 362920, that added together give a palindrome (376673).

The spelling of 13753362920 in words is "thirteen billion, seven hundred fifty-three million, three hundred sixty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 619 1238 2476 3095 4952 6190 6809 12380 13618 24760 27236 34045 50497 54472 68090 100994 136180 201988 252485 272360 403976 504970 555467 1009940 1110934 2019880 2221868 2777335 4443736 5554670 11109340 22218680 31257643 62515286 125030572 156288215 250061144 312576430 343834073 625152860 687668146 1250305720 1375336292 1719170365 2750672584 3438340730 6876681460 13753362920