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20311384560 = 2435198395309
BaseRepresentation
bin10010111010101001…
…110010000111110000
31221102112110020120020
4102322221302013300
5313044203301220
613155251243440
71316222630415
oct227251620760
957375406506
1020311384560
118683279935
123b2a2a9580
131bb906055c
14da97c010c
157dd278040
hex4baa721f0

20311384560 has 160 divisors (see below), whose sum is σ = 66370752000. Its totient is φ = 5124215808.

The previous prime is 20311384553. The next prime is 20311384567. The reversal of 20311384560 is 6548311302.

It is an interprime number because it is at equal distance from previous prime (20311384553) and next prime (20311384567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311384567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3823186 + ... + 3828494.

It is an arithmetic number, because the mean of its divisors is an integer number (414817200).

Almost surely, 220311384560 is an apocalyptic number.

20311384560 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 20311384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33185376000).

20311384560 is an abundant number, since it is smaller than the sum of its proper divisors (46059367440).

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

20311384560 is a wasteful number, since it uses less digits than its factorization.

20311384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 20311384560 its reverse (6548311302), we get a palindrome (26859695862).

The spelling of 20311384560 in words is "twenty billion, three hundred eleven million, three hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 839 912 1140 1520 1678 2280 2517 3356 4195 4560 5034 5309 6712 8390 10068 10618 12585 13424 15927 15941 16780 20136 21236 25170 26545 31854 31882 33560 40272 42472 47823 50340 53090 63708 63764 67120 79635 79705 84944 95646 100680 100871 106180 127416 127528 159270 159410 191292 201360 201742 212360 239115 254832 255056 302613 318540 318820 382584 403484 424720 478230 504355 605226 637080 637640 765168 806968 956460 1008710 1210452 1274160 1275280 1513065 1613936 1912920 2017420 2420904 3026130 3825840 4034840 4454251 4841808 6052260 8069680 8908502 12104520 13362753 17817004 22271255 24209040 26725506 35634008 44542510 53451012 66813765 71268016 84630769 89085020 106902024 133627530 169261538 178170040 213804048 253892307 267255060 338523076 356340080 423153845 507784614 534510120 677046152 846307690 1015569228 1069020240 1269461535 1354092304 1692615380 2031138456 2538923070 3385230760 4062276912 5077846140 6770461520 10155692280 20311384560