Search a number
-
+
66063500046 = 2341739196121
BaseRepresentation
bin111101100001101100…
…010000001100001110
320022112002010112010000
4331201230100030032
52040244224000141
650203230025130
74526054325255
oct754154201416
9208462115100
1066063500046
112602113a425
12109786481a6
1362caa2a03b
1432a9cb179c
151ab9c305b6
hexf61b1030e

66063500046 has 80 divisors (see below), whose sum is σ = 156804500160. Its totient is φ = 20717130240.

The previous prime is 66063500033. The next prime is 66063500051. The reversal of 66063500046 is 64000536066.

66063500046 is a `hidden beast` number, since 6 + 606 + 3 + 5 + 0 + 0 + 0 + 46 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10789866 + ... + 10795986.

It is an arithmetic number, because the mean of its divisors is an integer number (1960056252).

Almost surely, 266063500046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66063500046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78402250080).

66063500046 is an abundant number, since it is smaller than the sum of its proper divisors (90741000114).

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

66063500046 is a wasteful number, since it uses less digits than its factorization.

66063500046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10071 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 66063500046 in words is "sixty-six billion, sixty-three million, five hundred thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 3919 6121 7838 11757 12242 18363 23514 35271 36726 55089 66623 70542 104057 105813 110178 133246 165267 199869 208114 211626 312171 317439 330534 399738 495801 599607 624342 634878 936513 991602 1199214 1798821 1873026 2809539 3597642 5396463 5619078 8428617 10792926 16857234 23988199 47976398 71964597 143929194 215893791 407799383 431787582 647681373 815598766 1223398149 1295362746 1943044119 2446796298 3670194447 3886088238 7340388894 11010583341 22021166682 33031750023 66063500046