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56606174514 = 23361145311827
BaseRepresentation
bin110100101101111111…
…011010110100110010
312102002222111121102000
4310231333122310302
51411412140041024
642000550434430
74042516354521
oct645577326462
9172088447360
1056606174514
112200878980a
12ab79362a16
1354515b6926
142a4dc524b8
151714819cc9
hexd2dfdad32

56606174514 has 64 divisors (see below), whose sum is σ = 127952465280. Its totient is φ = 18545060160.

The previous prime is 56606174503. The next prime is 56606174557. The reversal of 56606174514 is 41547160665.

56606174514 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 61 + 74 + 514 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56606174514.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4780269 + ... + 4792095.

It is an arithmetic number, because the mean of its divisors is an integer number (1999257270).

Almost surely, 256606174514 is an apocalyptic number.

56606174514 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56606174514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63976232640).

56606174514 is an abundant number, since it is smaller than the sum of its proper divisors (71346290766).

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

56606174514 is a wasteful number, since it uses less digits than its factorization.

56606174514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56606174514 in words is "fifty-six billion, six hundred six million, one hundred seventy-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1453 1647 2906 3294 4359 8718 11827 13077 23654 26154 35481 39231 70962 78462 88633 106443 177266 212886 265899 319329 531798 638658 721447 797697 1442894 1595394 2164341 2393091 4328682 4786182 6493023 12986046 17184631 19479069 34369262 38958138 51553893 103107786 154661679 309323358 463985037 927970074 1048262491 2096524982 3144787473 6289574946 9434362419 18868724838 28303087257 56606174514