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55137674700 = 22335245192
BaseRepresentation
bin110011010110011101…
…100010010111001100
312021022122021002101000
4303112131202113030
51400410221042300
641155131420300
73661235334123
oct632635422714
9167278232330
1055137674700
11214248640a9
12a8295b4690
1352792a3424
142950bccaba
15167a943c00
hexcd67625cc

55137674700 has 108 divisors (see below), whose sum is σ = 177296647080. Its totient is φ = 14700126240.

The previous prime is 55137674689. The next prime is 55137674791. The reversal of 55137674700 is 747673155.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55137674700 is a `hidden beast` number, since 5 + 513 + 7 + 67 + 4 + 70 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12199041 + ... + 12203559.

Almost surely, 255137674700 is an apocalyptic number.

55137674700 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 55137674700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88648323540).

55137674700 is an abundant number, since it is smaller than the sum of its proper divisors (122158972380).

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

55137674700 is an equidigital number, since it uses as much as digits as its factorization.

55137674700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 55137674700 in words is "fifty-five billion, one hundred thirty-seven million, six hundred seventy-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4519 9038 13557 18076 22595 27114 40671 45190 54228 67785 81342 90380 112975 122013 135570 162684 203355 225950 244026 271140 338925 406710 451900 488052 610065 677850 813420 1016775 1220130 1355700 2033550 2440260 3050325 4067100 6100650 12201300 20421361 40842722 61264083 81685444 102106805 122528166 183792249 204213610 245056332 306320415 367584498 408427220 510534025 551376747 612640830 735168996 918961245 1021068050 1102753494 1225281660 1531602075 1837922490 2042136100 2205506988 2756883735 3063204150 3675844980 4594806225 5513767470 6126408300 9189612450 11027534940 13784418675 18379224900 27568837350 55137674700