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542830505038245 = 33521957718312331
BaseRepresentation
bin111101101101100111001001…
…1011011010001000110100101
32122012000002102020002202022000
41323123032103123101012211
51032122213333242210440
65202300520312155513
7222224131645050204
oct17333162333210645
92565002366082260
10542830505038245
11147a65140594126
1250a70231998b99
131a3b790a361668
1498091cac9d23b
1542b5401a24730
hex1edb3936d11a5

542830505038245 has 32 divisors (see below), whose sum is σ = 965036456615040. Its totient is φ = 289508268389760.

The previous prime is 542830505038219. The next prime is 542830505038303.

542830505038245 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 3 + 0 + 50 + 503 + 82 + 4 + 5 = 666.

542830505038245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542830505038245 - 27 = 542830505038117 is a prime.

It is a super-2 number, since 2×5428305050382452 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542830505038191 and 542830505038200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20486730 + ... + 38799060.

It is an arithmetic number, because the mean of its divisors is an integer number (30157389269220).

Almost surely, 2542830505038245 is an apocalyptic number.

It is an amenable number.

542830505038245 is a deficient number, since it is larger than the sum of its proper divisors (422205951576795).

542830505038245 is a wasteful number, since it uses less digits than its factorization.

542830505038245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18531922 (or 18531916 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 542830505038245 in words is "five hundred forty-two trillion, eight hundred thirty billion, five hundred five million, thirty-eight thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 219577 658731 1097885 1976193 3293655 5928579 9880965 18312331 29642895 54936993 91561655 164810979 274684965 494432937 824054895 2472164685 4020966703987 12062900111961 20104833519935 36188700335883 60314500559805 108566101007649 180943501679415 542830505038245