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20315320560 = 243359405241
BaseRepresentation
bin10010111010111000…
…110011000011110000
31221102210212012202000
4102322320303003300
5313101210224220
613155511454000
71316301242553
oct227270630360
957383765660
1020315320560
118685518027
123b2b687300
131bb9b0ac52
14daa12669a
157dd7a4390
hex4bae330f0

20315320560 has 80 divisors (see below), whose sum is σ = 69975000480. Its totient is φ = 5417418240.

The previous prime is 20315320559. The next prime is 20315320567. The reversal of 20315320560 is 6502351302.

20315320560 is a `hidden beast` number, since 2 + 0 + 31 + 53 + 20 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20315320567) 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 15 ways as a sum of consecutive naturals, for example, 4700461 + ... + 4704780.

It is an arithmetic number, because the mean of its divisors is an integer number (874687506).

Almost surely, 220315320560 is an apocalyptic number.

20315320560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20315320560 is an abundant number, since it is smaller than the sum of its proper divisors (49659679920).

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

20315320560 is a wasteful number, since it uses less digits than its factorization.

20315320560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405263 (or 9405251 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 20315320560 its reverse (6502351302), we get a palindrome (26817671862).

The spelling of 20315320560 in words is "twenty billion, three hundred fifteen million, three hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9405241 18810482 28215723 37620964 47026205 56431446 75241928 84647169 94052410 112862892 141078615 150483856 169294338 188104820 225725784 253941507 282157230 338588676 376209640 423235845 451451568 507883014 564314460 677177352 752419280 846471690 1015766028 1128628920 1269707535 1354354704 1692943380 2031532056 2257257840 2539415070 3385886760 4063064112 5078830140 6771773520 10157660280 20315320560