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56055000600 = 23325267464801
BaseRepresentation
bin110100001101001000…
…110110111000011000
312100200120101001221100
4310031020312320120
51404300040004400
641430141111400
74023044433504
oct641510667030
9170616331840
1056055000600
112185564a685
12aa44858560
135394355011
1429da979304
1516d1244100
hexd0d236e18

56055000600 has 144 divisors (see below), whose sum is σ = 191061510120. Its totient is φ = 14724864000.

The previous prime is 56055000587. The next prime is 56055000601. The reversal of 56055000600 is 600055065.

56055000600 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 50 + 0 + 0 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56055000601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111801 + ... + 353000.

Almost surely, 256055000600 is an apocalyptic number.

56055000600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56055000600 is an abundant number, since it is smaller than the sum of its proper divisors (135006509520).

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

56055000600 is a wasteful number, since it uses less digits than its factorization.

56055000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464890 (or 464878 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 56055000600 its reverse (600055065), we get a palindrome (56655055665).

The spelling of 56055000600 in words is "fifty-six billion, fifty-five million, six hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 67 72 75 90 100 120 134 150 180 200 201 225 268 300 335 360 402 450 536 600 603 670 804 900 1005 1206 1340 1608 1675 1800 2010 2412 2680 3015 3350 4020 4824 5025 6030 6700 8040 10050 12060 13400 15075 20100 24120 30150 40200 60300 120600 464801 929602 1394403 1859204 2324005 2788806 3718408 4183209 4648010 5577612 6972015 8366418 9296020 11155224 11620025 13944030 16732836 18592040 20916045 23240050 27888060 31141667 33465672 34860075 41832090 46480100 55776120 62283334 69720150 83664180 92960200 93425001 104580225 124566668 139440300 155708335 167328360 186850002 209160450 249133336 278880600 280275003 311416670 373700004 418320900 467125005 560550006 622833340 747400008 778541675 836641800 934250010 1121100012 1245666680 1401375015 1557083350 1868500020 2242200024 2335625025 2802750030 3114166700 3737000040 4671250050 5605500060 6228333400 7006875075 9342500100 11211000120 14013750150 18685000200 28027500300 56055000600