Search a number
-
+
66074122242 = 23243214092
BaseRepresentation
bin111101100010010100…
…110001100000000010
320022112211010012000200
4331202110301200002
52040304433402432
650204245430030
74526243525622
oct754224614002
9208484105020
1066074122242
1126027134aa7
121098010b316
1362ccca8b6b
1432ab478882
151abab2ca7c
hexf62531802

66074122242 has 54 divisors (see below), whose sum is σ = 146671436457. Its totient is φ = 21497236992.

The previous prime is 66074122217. The next prime is 66074122259. The reversal of 66074122242 is 24222147066.

66074122242 is a `hidden beast` number, since 6 + 607 + 4 + 1 + 2 + 2 + 2 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40445634321 + 25628487921 = 201111^2 + 160089^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=181761.

It is a junction number, because it is equal to n+sod(n) for n = 66074122197 and 66074122206.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46893634 + ... + 46895042.

Almost surely, 266074122242 is an apocalyptic number.

66074122242 is an abundant number, since it is smaller than the sum of its proper divisors (80597314215).

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

66074122242 is an equidigital number, since it uses as much as digits as its factorization.

66074122242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 66074122242 in words is "sixty-six billion, seventy-four million, one hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1409 1849 2818 3698 4227 5547 8454 11094 12681 16641 25362 33282 60587 121174 181761 363522 545283 1090566 1985281 2605241 3970562 5210482 5955843 7815723 11911686 15631446 17867529 23447169 35735058 46894338 85367083 170734166 256101249 512202498 768303747 1536607494 3670784569 7341569138 11012353707 22024707414 33037061121 66074122242