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54144051200 = 2115210310267
BaseRepresentation
bin110010011011001111…
…001010100000000000
312011202101120210011122
4302123033022200000
51341341334114300
640512354531412
73624511561451
oct623317124000
9164671523148
1054144051200
1120a649a6058
12a5b0896b68
13514b489725
142898c61128
15161d5c1c85
hexc9b3ca800

54144051200 has 144 divisors (see below), whose sum is σ = 135561011040. Its totient is φ = 21445263360.

The previous prime is 54144051193. The next prime is 54144051229. The reversal of 54144051200 is 215044145.

It is a self number, because there is not a number n which added to its sum of digits gives 54144051200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5268467 + ... + 5278733.

It is an arithmetic number, because the mean of its divisors is an integer number (941395910).

Almost surely, 254144051200 is an apocalyptic number.

54144051200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54144051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67780505520).

54144051200 is an abundant number, since it is smaller than the sum of its proper divisors (81416959840).

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

54144051200 is a wasteful number, since it uses less digits than its factorization.

54144051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 54144051200 its reverse (215044145), we get a palindrome (54359095345).

The spelling of 54144051200 in words is "fifty-four billion, one hundred forty-four million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 256 320 400 412 512 515 640 800 824 1024 1030 1280 1600 1648 2048 2060 2560 2575 3200 3296 4120 5120 5150 6400 6592 8240 10240 10267 10300 12800 13184 16480 20534 20600 25600 26368 32960 41068 41200 51200 51335 52736 65920 82136 82400 102670 105472 131840 164272 164800 205340 210944 256675 263680 328544 329600 410680 513350 527360 657088 659200 821360 1026700 1054720 1057501 1314176 1318400 1642720 2053400 2115002 2628352 2636800 3285440 4106800 4230004 5256704 5273600 5287505 6570880 8213600 8460008 10513408 10575010 13141760 16427200 16920016 21026816 21150020 26283520 26437525 32854400 33840032 42300040 52567040 52875050 65708800 67680064 84600080 105134080 105750100 131417600 135360128 169200160 211500200 262835200 270720256 338400320 423000400 525670400 541440512 676800640 846000800 1082881024 1353601280 1692001600 2165762048 2707202560 3384003200 5414405120 6768006400 10828810240 13536012800 27072025600 54144051200