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55068456600 = 233252180116987
BaseRepresentation
bin110011010010010101…
…011111011010011000
312021010211000102222200
4303102111133122120
51400240011102400
641144220050200
73656435105103
oct632225373230
9167124012880
1055068456600
1121399787563
12a80a393960
135267b49781
14294593173a
15167481eb00
hexcd255f698

55068456600 has 144 divisors (see below), whose sum is σ = 185051812920. Its totient is φ = 14675904000.

The previous prime is 55068456539. The next prime is 55068456683. The reversal of 55068456600 is 665486055.

It is a happy number.

55068456600 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 84 + 566 + 0 + 0 = 666.

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

It is a congruent number.

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, 3233307 + ... + 3250293.

Almost surely, 255068456600 is an apocalyptic number.

55068456600 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 55068456600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92525906460).

55068456600 is an abundant number, since it is smaller than the sum of its proper divisors (129983356320).

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

55068456600 is a wasteful number, since it uses less digits than its factorization.

55068456600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 55068456600 in words is "fifty-five billion, sixty-eight million, four hundred fifty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1801 3602 5403 7204 9005 10806 14408 16209 16987 18010 21612 27015 32418 33974 36020 43224 45025 50961 54030 64836 67948 72040 81045 84935 90050 101922 108060 129672 135075 135896 152883 162090 169870 180100 203844 216120 254805 270150 305766 324180 339740 360200 405225 407688 424675 509610 540300 611532 648360 679480 764415 810450 849350 1019220 1080600 1223064 1274025 1528830 1620900 1698700 2038440 2548050 3057660 3241800 3397400 3822075 5096100 6115320 7644150 10192200 15288300 30576600 30593587 61187174 91780761 122374348 152967935 183561522 244748696 275342283 305935870 367123044 458903805 550684566 611871740 734246088 764839675 917807610 1101369132 1223743480 1376711415 1529679350 1835615220 2202738264 2294519025 2753422830 3059358700 3671230440 4589038050 5506845660 6118717400 6883557075 9178076100 11013691320 13767114150 18356152200 27534228300 55068456600