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2428343824509 = 35192322867699
BaseRepresentation
bin100011010101100100100…
…100100011000001111101
322121010222110022200200000
4203111210210203001331
5304241222004341014
65055322111424513
7340304423636661
oct43254444430175
98533873280600
102428343824509
11856944867039
12332767525139
13147cb80c37b5
14857651428a1
1543277e06509
hex2356492307d

2428343824509 has 48 divisors (see below), whose sum is σ = 3995444544000. Its totient is φ = 1467008562096.

The previous prime is 2428343824469. The next prime is 2428343824537. The reversal of 2428343824509 is 9054283438242.

2428343824509 is a `hidden beast` number, since 2 + 4 + 2 + 83 + 4 + 38 + 24 + 509 = 666.

It is not a de Polignac number, because 2428343824509 - 211 = 2428343822461 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428343820509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11327659 + ... + 11540040.

It is an arithmetic number, because the mean of its divisors is an integer number (83238428000).

Almost surely, 22428343824509 is an apocalyptic number.

It is an amenable number.

2428343824509 is a deficient number, since it is larger than the sum of its proper divisors (1567100719491).

2428343824509 is a wasteful number, since it uses less digits than its factorization.

2428343824509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22867756 (or 22867744 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 2428343824509 in words is "two trillion, four hundred twenty-eight billion, three hundred forty-three million, eight hundred twenty-four thousand, five hundred nine".

Divisors: 1 3 9 19 23 27 57 69 81 171 207 243 437 513 621 1311 1539 1863 3933 4617 5589 11799 35397 106191 22867699 68603097 205809291 434486281 525957077 617427873 1303458843 1577871231 1852283619 3910376529 4733613693 5556850857 9993184463 11731129587 14200841079 29979553389 35193388761 42602523237 89938660167 105580166283 127807569711 269815980501 809447941503 2428343824509