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20400354300 = 22352675771759
BaseRepresentation
bin10010111111111101…
…001011001111111100
31221122201212101002210
4102333331023033330
5313234442314200
613212150220420
71321353102414
oct227775131774
957581771083
1020400354300
118719517147
123b54054710
131c01611581
14db753d644
157e5e9e650
hex4bff4b3fc

20400354300 has 144 divisors (see below), whose sum is σ = 60043934720. Its totient is φ = 5346570240.

The previous prime is 20400354287. The next prime is 20400354311. The reversal of 20400354300 is 345300402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11596821 + ... + 11598579.

Almost surely, 220400354300 is an apocalyptic number.

20400354300 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 20400354300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30021967360).

20400354300 is an abundant number, since it is smaller than the sum of its proper divisors (39643580420).

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

20400354300 is a wasteful number, since it uses less digits than its factorization.

20400354300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 20400354300 its reverse (345300402), we get a palindrome (20745654702).

The spelling of 20400354300 in words is "twenty billion, four hundred million, three hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 577 670 804 1005 1154 1340 1675 1731 1759 2010 2308 2885 3350 3462 3518 4020 5025 5277 5770 6700 6924 7036 8655 8795 10050 10554 11540 14425 17310 17590 20100 21108 26385 28850 34620 35180 38659 43275 43975 52770 57700 77318 86550 87950 105540 115977 117853 131925 154636 173100 175900 193295 231954 235706 263850 353559 386590 463908 471412 527700 579885 589265 707118 773180 966475 1014943 1159770 1178530 1414236 1767795 1932950 2029886 2319540 2357060 2899425 2946325 3044829 3535590 3865900 4059772 5074715 5798850 5892650 6089658 7071180 8838975 10149430 11597700 11785300 12179316 15224145 17677950 20298860 25373575 30448290 35355900 50747150 60896580 68001181 76120725 101494300 136002362 152241450 204003543 272004724 304482900 340005905 408007086 680011810 816014172 1020017715 1360023620 1700029525 2040035430 3400059050 4080070860 5100088575 6800118100 10200177150 20400354300