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56005106000560 = 2452331397244593
BaseRepresentation
bin11001011101111101101000…
…11100101110001010110000
321100022000222010112112000221
430232332310130232022300
524320041424114004220
6315040220203422424
714540143510263313
oct1456766434561260
9240260863475027
1056005106000560
11169326a5318312
1263461b8824a14
132533349876482
14db89395ac97a
15671c4bedb9aa
hex32efb472e2b0

56005106000560 has 80 divisors (see below), whose sum is σ = 136307358431424. Its totient is φ = 21359580143616.

The previous prime is 56005106000551. The next prime is 56005106000581. The reversal of 56005106000560 is 6500060150065.

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

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, 48046377 + ... + 49198216.

Almost surely, 256005106000560 is an apocalyptic number.

It is an amenable number.

56005106000560 is an abundant number, since it is smaller than the sum of its proper divisors (80302252430864).

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

56005106000560 is a wasteful number, since it uses less digits than its factorization.

56005106000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97244942 (or 97244936 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 56005106000560 in words is "fifty-six trillion, five billion, one hundred six million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 313 368 460 626 920 1252 1565 1840 2504 3130 5008 6260 7199 12520 14398 25040 28796 35995 57592 71990 115184 143980 287960 575920 97244593 194489186 388978372 486222965 777956744 972445930 1555913488 1944891860 2236625639 3889783720 4473251278 7779567440 8946502556 11183128195 17893005112 22366256390 30437557609 35786010224 44732512780 60875115218 89465025560 121750230436 152187788045 178930051120 243500460872 304375576090 487000921744 608751152180 700063825007 1217502304360 1400127650014 2435004608720 2800255300028 3500319125035 5600510600056 7000638250070 11201021200112 14001276500140 28002553000280 56005106000560