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66024616056 = 233738599337
BaseRepresentation
bin111101011111010111…
…111011000001111000
320022102100222000022020
4331133113323001320
52040204300203211
650155320354440
74525102656000
oct753727730170
9208370860266
1066024616056
11260011a12a3
1210967615a20
1362c2964469
1432a4a6d000
151ab65ee306
hexf5f5fb078

66024616056 has 128 divisors (see below), whose sum is σ = 192736320000. Its totient is φ = 18840197376.

The previous prime is 66024616039. The next prime is 66024616081. The reversal of 66024616056 is 65061642066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66024615999 and 66024616017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7066620 + ... + 7075956.

It is an arithmetic number, because the mean of its divisors is an integer number (1505752500).

Almost surely, 266024616056 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 66024616056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96368160000).

66024616056 is an abundant number, since it is smaller than the sum of its proper divisors (126711703944).

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

66024616056 is a wasteful number, since it uses less digits than its factorization.

66024616056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 66024616056 in words is "sixty-six billion, twenty-four million, six hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 859 1029 1176 1372 1718 2058 2577 2744 3436 4116 5154 6013 6872 8232 9337 10308 12026 18039 18674 20616 24052 28011 36078 37348 42091 48104 56022 65359 72156 74696 84182 112044 126273 130718 144312 168364 196077 224088 252546 261436 294637 336728 392154 457513 505092 522872 589274 784308 883911 915026 1010184 1178548 1372539 1568616 1767822 1830052 2357096 2745078 3202591 3535644 3660104 5490156 6405182 7071288 8020483 9607773 10980312 12810364 16040966 19215546 24061449 25620728 32081932 38431092 48122898 56143381 64163864 76862184 96245796 112286762 168430143 192491592 224573524 336860286 393003667 449147048 673720572 786007334 1179011001 1347441144 1572014668 2358022002 2751025669 3144029336 4716044004 5502051338 8253077007 9432088008 11004102676 16506154014 22008205352 33012308028 66024616056