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56627556130200 = 23352118579932747
BaseRepresentation
bin11001110000000101000010…
…10111100001110110011000
321102111112121202021022210010
430320002201113201312120
524410241213332131300
6320234201250121520
714633130426136326
oct1470024127416630
9242445552238703
1056627556130200
1117052680181560
126426971b802a0
132579c56699653
14ddab072c6d16
1568302cc4ea50
hex3380a15e1d98

56627556130200 has 96 divisors (see below), whose sum is σ = 191504098935360. Its totient is φ = 13727892393600.

The previous prime is 56627556130151. The next prime is 56627556130207. The reversal of 56627556130200 is 203165572665.

It is a super-2 number, since 2×566275561302002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56627556130200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56627556130207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4289959774 + ... + 4289972973.

It is an arithmetic number, because the mean of its divisors is an integer number (1994834363910).

Almost surely, 256627556130200 is an apocalyptic number.

56627556130200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56627556130200 is an abundant number, since it is smaller than the sum of its proper divisors (134876542805160).

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

56627556130200 is a wasteful number, since it uses less digits than its factorization.

56627556130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8579932777 (or 8579932768 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 56627556130200 in words is "fifty-six trillion, six hundred twenty-seven billion, five hundred fifty-six million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 8579932747 17159865494 25739798241 34319730988 42899663735 51479596482 68639461976 85799327470 94379260217 102959192964 128698991205 171598654940 188758520434 205918385928 214498318675 257397982410 283137780651 343197309880 377517040868 428996637350 471896301085 514795964820 566275561302 643494956025 755034081736 857993274700 943792602170 1029591929640 1132551122604 1286989912050 1415688903255 1715986549400 1887585204340 2265102245208 2359481505425 2573979824100 2831377806510 3775170408680 4718963010850 5147959648200 5662755613020 7078444516275 9437926021700 11325511226040 14156889032550 18875852043400 28313778065100 56627556130200