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55322162064 = 243213107276191
BaseRepresentation
bin110011100001011101…
…010011001110010000
312021210111102000110100
4303201131103032100
51401244433141224
641225321532400
73665635422141
oct634135231620
9167714360410
1055322162064
1121509a111a4
12a87b344100
1352a8588950
14296b4d3ac8
15168bc36ac9
hexce1753390

55322162064 has 120 divisors (see below), whose sum is σ = 168293728512. Its totient is φ = 16863056640.

The previous prime is 55322162057. The next prime is 55322162099. The reversal of 55322162064 is 46026122355.

55322162064 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 21 + 620 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62209 + ... + 338399.

Almost surely, 255322162064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55322162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84146864256).

55322162064 is an abundant number, since it is smaller than the sum of its proper divisors (112971566448).

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

55322162064 is a wasteful number, since it uses less digits than its factorization.

55322162064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276325 (or 276316 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 55322162064 in words is "fifty-five billion, three hundred twenty-two million, one hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 107 117 144 156 208 214 234 312 321 428 468 624 642 856 936 963 1284 1391 1712 1872 1926 2568 2782 3852 4173 5136 5564 7704 8346 11128 12519 15408 16692 22256 25038 33384 50076 66768 100152 200304 276191 552382 828573 1104764 1657146 2209528 2485719 3314292 3590483 4419056 4971438 6628584 7180966 9942876 10771449 13257168 14361932 19885752 21542898 28723864 29552437 32314347 39771504 43085796 57447728 59104874 64628694 86171592 88657311 118209748 129257388 172343184 177314622 236419496 258514776 265971933 354629244 384181681 472838992 517029552 531943866 709258488 768363362 1063887732 1152545043 1418516976 1536726724 2127775464 2305090086 3073453448 3457635129 4255550928 4610180172 6146906896 6915270258 9220360344 13830540516 18440720688 27661081032 55322162064