Search a number
-
+
66328172030997 = 3312319157217933
BaseRepresentation
bin11110001010011001110110…
…01000011110110000010101
322200211220121100111112221000
433011030323020132300111
532143210044014442442
6353022424103013513
716654023635614362
oct1705147310366025
9280756540445830
1066328172030997
111a15268aa376a8
127532a1673a299
132b0194849b4c6
14125442cdd9469
157a05345e2d4c
hex3c533b21ec15

66328172030997 has 32 divisors (see below), whose sum is σ = 98354974108160. Its totient is φ = 44177832578880.

The previous prime is 66328172030987. The next prime is 66328172031019. The reversal of 66328172030997 is 79903027182366.

66328172030997 is a `hidden beast` number, since 6 + 6 + 328 + 17 + 203 + 0 + 9 + 97 = 666.

66328172030997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66328172030997 - 214 = 66328172014613 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66328172030957) by changing a digit.

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, 304242243 + ... + 304460175.

It is an arithmetic number, because the mean of its divisors is an integer number (3073592940880).

Almost surely, 266328172030997 is an apocalyptic number.

It is an amenable number.

66328172030997 is a deficient number, since it is larger than the sum of its proper divisors (32026802077163).

66328172030997 is a wasteful number, since it uses less digits than its factorization.

66328172030997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228330 (or 228324 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 66328172030997 in words is "sixty-six trillion, three hundred twenty-eight billion, one hundred seventy-two million, thirty thousand, nine hundred ninety-seven".

Divisors: 1 3 9 27 1231 3693 9157 11079 27471 33237 82413 217933 247239 653799 1961397 5884191 11272267 33816801 101450403 268275523 304351209 804826569 1995612481 2414479707 5986837443 7243439121 17960512329 53881536987 2456598964111 7369796892333 22109390676999 66328172030997