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24552000066 = 231117139157427
BaseRepresentation
bin10110110111011010…
…011100101001000010
32100101001220211102210
4112313122130221002
5400240303000231
615140134322550
71526264362056
oct266732345102
970331824383
1024552000066
11a459a67050
1249124b9456
132413789cb9
14128ca89c66
1598a6cba46
hex5b769ca42

24552000066 has 64 divisors (see below), whose sum is σ = 57127472640. Its totient is φ = 6951932160.

The previous prime is 24552000047. The next prime is 24552000071. The reversal of 24552000066 is 66000025542.

It is a junction number, because it is equal to n+sod(n) for n = 24551999997 and 24552000042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77245 + ... + 234671.

It is an arithmetic number, because the mean of its divisors is an integer number (892616760).

Almost surely, 224552000066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24552000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28563736320).

24552000066 is an abundant number, since it is smaller than the sum of its proper divisors (32575472574).

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

24552000066 is a wasteful number, since it uses less digits than its factorization.

24552000066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157599.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 24552000066 in words is "twenty-four billion, five hundred fifty-two million, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 139 187 278 374 417 561 834 1122 1529 2363 3058 4587 4726 7089 9174 14178 25993 51986 77979 155958 157427 314854 472281 944562 1731697 2676259 3463394 5195091 5352518 8028777 10390182 16057554 21882353 29438849 43764706 58877698 65647059 88316547 131294118 176633094 240705883 372000001 481411766 722117649 744000002 1116000003 1444235298 2232000006 4092000011 8184000022 12276000033 24552000066