Search a number
-
+
12007074177 = 337173737029
BaseRepresentation
bin10110010111010110…
…10110100110000001
31010222210102120022000
423023223112212001
5144042302333202
65303241134213
7603355306110
oct131353264601
933883376260
1012007074177
1151017535aa
1223b118a369
131194770727
1481c93dc77
154a41bb91c
hex2cbad6981

12007074177 has 32 divisors (see below), whose sum is σ = 21525292800. Its totient is φ = 6457584384.

The previous prime is 12007074173. The next prime is 12007074179. The reversal of 12007074177 is 77147070021.

12007074177 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 12007074177 - 22 = 12007074173 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12007074173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865302 + ... + 1871727.

It is an arithmetic number, because the mean of its divisors is an integer number (672665400).

Almost surely, 212007074177 is an apocalyptic number.

12007074177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12007074177 is a deficient number, since it is larger than the sum of its proper divisors (9518218623).

12007074177 is a wasteful number, since it uses less digits than its factorization.

12007074177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737062 (or 3737056 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The spelling of 12007074177 in words is "twelve billion, seven million, seventy-four thousand, one hundred seventy-seven".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 3737029 11211087 26159203 33633261 63529493 78477609 100899783 190588479 235432827 444706451 571765437 706298481 1334119353 1715296311 4002358059 12007074177