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542000000245 = 5112895867769
BaseRepresentation
bin1111110001100011011…
…01111010110011110101
31220210222220121210022011
413320301231322303311
532340004000001440
61052554045004221
754105156662554
oct7706155726365
91823886553264
10542000000245
11199951963300
1289062853671
133c158677822
141c339289d9b
15e172ecc9ea
hex7e31b7acf5

542000000245 has 12 divisors (see below), whose sum is σ = 714902480460. Its totient is φ = 394181817920.

The previous prime is 542000000239. The next prime is 542000000341.

542000000245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 413200839249 + 128799160996 = 642807^2 + 358886^2 .

It is not a de Polignac number, because 542000000245 - 219 = 541999475957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447933280 + ... + 447934489.

It is an arithmetic number, because the mean of its divisors is an integer number (59575206705).

Almost surely, 2542000000245 is an apocalyptic number.

542000000245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542000000245 is a deficient number, since it is larger than the sum of its proper divisors (172902480215).

542000000245 is a wasteful number, since it uses less digits than its factorization.

542000000245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895867796 (or 895867785 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

It can be divided in two parts, 542000000 and 245, that added together give a palindrome (542000245).

The spelling of 542000000245 in words is "five hundred forty-two billion, two hundred forty-five", and thus it is an aban number.

Divisors: 1 5 11 55 121 605 895867769 4479338845 9854545459 49272727295 108400000049 542000000245