Search a number
-
+
146522552790789 = 3274345015352703
BaseRepresentation
bin100001010100001011110000…
…101101011110111100000101
3201012210102022122001021121200
4201110023300231132330011
5123201111142003301124
61235343310445533113
742601622310162360
oct4124136055367405
9635712278037550
10146522552790789
114276095824066a
1214525076574199
13639b02c419a86
142827a2d6590d7
1511e15c3ecabc9
hex8542f0b5ef05

146522552790789 has 24 divisors (see below), whose sum is σ = 241879101714432. Its totient is φ = 83726964684000.

The previous prime is 146522552790751. The next prime is 146522552790811. The reversal of 146522552790789 is 987097255225641.

It is a happy number.

146522552790789 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 2 + 2 + 5 + 527 + 90 + 7 + 8 + 9 = 666.

It is not a de Polignac number, because 146522552790789 - 28 = 146522552790533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146522552790689) 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 23 ways as a sum of consecutive naturals, for example, 24697212 + ... + 30049914.

It is an arithmetic number, because the mean of its divisors is an integer number (10078295904768).

Almost surely, 2146522552790789 is an apocalyptic number.

It is an amenable number.

146522552790789 is a deficient number, since it is larger than the sum of its proper divisors (95356548923643).

146522552790789 is a wasteful number, since it uses less digits than its factorization.

146522552790789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787217 (or 5787214 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 146522552790789 in words is "one hundred forty-six trillion, five hundred twenty-two billion, five hundred fifty-two million, seven hundred ninety thousand, seven hundred eighty-nine".

Divisors: 1 3 7 9 21 63 434501 1303503 3041507 3910509 5352703 9124521 16058109 27373563 37468921 48174327 112406763 337220289 2325754806203 6977264418609 16280283643421 20931793255827 48840850930263 146522552790789