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20334014320 = 2451935337897
BaseRepresentation
bin10010111100000000…
…000110111101110000
31221111010000221202111
4102330000012331300
5313121001424240
613201420255104
71316616161404
oct227400067560
957433027674
1020334014320
118695025a14
123b359a1494
131bc0954949
14dac7d1104
157e02481ea
hex4bc006f70

20334014320 has 80 divisors (see below), whose sum is σ = 49907118240. Its totient is φ = 7683489792.

The previous prime is 20334014299. The next prime is 20334014333. The reversal of 20334014320 is 2341043302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 20334014291 and 20334014300.

It is a congruent 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, 517612 + ... + 555508.

It is an arithmetic number, because the mean of its divisors is an integer number (623838978).

Almost surely, 220334014320 is an apocalyptic number.

20334014320 is a gapful number since it is divisible by the number (20) 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 20334014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953559120).

20334014320 is an abundant number, since it is smaller than the sum of its proper divisors (29573103920).

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

20334014320 is a wasteful number, since it uses less digits than its factorization.

20334014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38282 (or 38276 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20334014320 its reverse (2341043302), we get a palindrome (22675057622).

The spelling of 20334014320 in words is "twenty billion, three hundred thirty-four million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 353 380 706 760 1412 1520 1765 2824 3530 5648 6707 7060 13414 14120 26828 28240 33535 37897 53656 67070 75794 107312 134140 151588 189485 268280 303176 378970 536560 606352 720043 757940 1440086 1515880 2880172 3031760 3600215 5760344 7200430 11520688 13377641 14400860 26755282 28801720 53510564 57603440 66888205 107021128 133776410 214042256 254175179 267552820 508350358 535105640 1016700716 1070211280 1270875895 2033401432 2541751790 4066802864 5083503580 10167007160 20334014320