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423782249393601 = 327229100999290837
BaseRepresentation
bin110000001011011010111111…
…0011011111110110111000001
32001120111012001121020101220200
41200112311332123332313001
5421021222021321043401
64101150513331555413
7155156154125236320
oct14026657633766701
92046435047211820
10423782249393601
1111303705189085a
123b643a09a5bb69
131526065796a147
1476912554960b7
1533ed8374a6686
hex1816d7e6fedc1

423782249393601 has 48 divisors (see below), whose sum is σ = 702641340960000. Its totient is φ = 241100596324224.

The previous prime is 423782249393597. The next prime is 423782249393611. The reversal of 423782249393601 is 106393942287324.

It is a happy number.

423782249393601 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 82 + 2 + 493 + 9 + 3 + 60 + 1 = 666.

It is not a de Polignac number, because 423782249393601 - 22 = 423782249393597 is a prime.

It is a super-2 number, since 2×4237822493936012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (423782249393611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456967155 + ... + 1457257991.

It is an arithmetic number, because the mean of its divisors is an integer number (14638361270000).

Almost surely, 2423782249393601 is an apocalyptic number.

It is an amenable number.

423782249393601 is a deficient number, since it is larger than the sum of its proper divisors (278859091566399).

423782249393601 is a wasteful number, since it uses less digits than its factorization.

423782249393601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392078 (or 392075 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 423782249393601 in words is "four hundred twenty-three trillion, seven hundred eighty-two billion, two hundred forty-nine million, three hundred ninety-three thousand, six hundred one".

Divisors: 1 3 7 9 21 63 229 687 1603 2061 4809 14427 100999 290837 302997 706993 872511 908991 2035859 2120979 2617533 6107577 6362937 18322731 23128771 66601673 69386313 161901397 199805019 208158939 466211711 485704191 599415057 1398635133 1457112573 4195905399 29374246163 88122738489 205619723141 264368215467 616859169423 1850577508269 6726702371327 20180107113981 47086916599289 60540321341943 141260749797867 423782249393601