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20160436360 = 2354122953681
BaseRepresentation
bin10010110001101001…
…111101100010001000
31221001000102021120011
4102301221331202020
5312242032430420
613132300041304
71312410611251
oct226151754210
957030367504
1020160436360
11860604a259
123aa7833234
131b939bbbac
14d93729b28
157cedac95a
hex4b1a7d888

20160436360 has 64 divisors (see below), whose sum is σ = 46671130800. Its totient is φ = 7832985600.

The previous prime is 20160436339. The next prime is 20160436379. The reversal of 20160436360 is 6363406102.

It can be written as a sum of positive squares in 8 ways, for example, as 7170363684 + 12990072676 = 84678^2 + 113974^2 .

It is a super-2 number, since 2×201604363602 (a number of 21 digits) contains 22 as substring.

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, 348720 + ... + 402400.

Almost surely, 220160436360 is an apocalyptic number.

20160436360 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 20160436360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23335565400).

20160436360 is an abundant number, since it is smaller than the sum of its proper divisors (26510694440).

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

20160436360 is a wasteful number, since it uses less digits than its factorization.

20160436360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53962 (or 53958 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 20160436360 in words is "twenty billion, one hundred sixty million, four hundred thirty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 229 328 410 458 820 916 1145 1640 1832 2290 4580 9160 9389 18778 37556 46945 53681 75112 93890 107362 187780 214724 268405 375560 429448 536810 1073620 2147240 2200921 4401842 8803684 11004605 12292949 17607368 22009210 24585898 44018420 49171796 61464745 88036840 98343592 122929490 245858980 491717960 504010909 1008021818 2016043636 2520054545 4032087272 5040109090 10080218180 20160436360