Search a number
-
+
24400260153425 = 5213417923179291
BaseRepresentation
bin1011000110001001000001…
…10101101100000001010001
310012101122100002020201222202
411203010200311230001101
511144233213044402200
6123521154052212545
75065601123136602
oct543044065540121
9105348302221882
1024400260153425
11785810181a132
1228a0b2590a155
13107cc1c5a6830
14604d9c11dda9
152c4a904c71d5
hex163120d6c051

24400260153425 has 48 divisors (see below), whose sum is σ = 33800970766080. Its totient is φ = 17356652352000.

The previous prime is 24400260153377. The next prime is 24400260153433. The reversal of 24400260153425 is 52435106200442.

It is a de Polignac number, because none of the positive numbers 2k-24400260153425 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10536971 + ... + 12642320.

It is an arithmetic number, because the mean of its divisors is an integer number (704186890960).

Almost surely, 224400260153425 is an apocalyptic number.

24400260153425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

24400260153425 is a deficient number, since it is larger than the sum of its proper divisors (9400710612655).

24400260153425 is a wasteful number, since it uses less digits than its factorization.

24400260153425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23179434 (or 23179429 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 24400260153425 its reverse (52435106200442), we get a palindrome (76835366353867).

The spelling of 24400260153425 in words is "twenty-four trillion, four hundred billion, two hundred sixty million, one hundred fifty-three thousand, four hundred twenty-five".

Divisors: 1 5 13 25 41 65 79 205 325 395 533 1025 1027 1975 2665 3239 5135 13325 16195 25675 42107 80975 210535 1052675 23179291 115896455 301330783 579482275 950350931 1506653915 1831163989 4751754655 7533269575 9155819945 12354562103 23758773275 23805131857 45779099725 61772810515 75077723549 119025659285 308864052575 375388617745 595128296425 976010406137 1876943088725 4880052030685 24400260153425