Search a number
-
+
66148560329112 = 2334102081111619
BaseRepresentation
bin11110000101001011010010…
…11100001101100110011000
322200012201222220101201120000
433002211221130031212120
532132234222421012422
6352404121252533000
716635034663420632
oct1702455134154630
9280181886351500
1066148560329112
111a0934a08a8658
12750404b021160
132abaa2312c171
1412498709d9a52
1579aa2103acac
hex3c296970d998

66148560329112 has 40 divisors (see below), whose sum is σ = 185277217590300. Its totient is φ = 22049520109488.

The previous prime is 66148560329099. The next prime is 66148560329113. The reversal of 66148560329112 is 21192306584166.

66148560329112 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 8 + 5 + 603 + 29 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×661485603291122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66148560329113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 51040555162 + ... + 51040556457.

Almost surely, 266148560329112 is an apocalyptic number.

It is an amenable number.

66148560329112 is an abundant number, since it is smaller than the sum of its proper divisors (119128657261188).

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

66148560329112 is a wasteful number, since it uses less digits than its factorization.

66148560329112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102081111637 (or 102081111624 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 66148560329112 in words is "sixty-six trillion, one hundred forty-eight billion, five hundred sixty million, three hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 102081111619 204162223238 306243334857 408324446476 612486669714 816648892952 918730004571 1224973339428 1837460009142 2449946678856 2756190013713 3674920018284 5512380027426 7349840036568 8268570041139 11024760054852 16537140082278 22049520109704 33074280164556 66148560329112