Search a number
-
+
5233590953325 = 335271577055021
BaseRepresentation
bin100110000101000101001…
…0101000110010101101101
3200112022210221201001012000
41030022022111012111231
51141221343241001300
615044140053202513
71050054156050520
oct114121225062555
920468727631160
105233590953325
11173860a721109
1270637b030439
132bc6aa70b987
14141442b88bb7
159120eb95c00
hex4c28a54656d

5233590953325 has 96 divisors (see below), whose sum is σ = 11057759281920. Its totient is φ = 2377259539200.

The previous prime is 5233590953309. The next prime is 5233590953347.

5233590953325 is a `hidden beast` number, since 5 + 2 + 33 + 59 + 0 + 9 + 533 + 25 = 666.

5233590953325 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5233590953325 - 24 = 5233590953309 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2785686 + ... + 4269335.

It is an arithmetic number, because the mean of its divisors is an integer number (115184992520).

Almost surely, 25233590953325 is an apocalyptic number.

It is an amenable number.

5233590953325 is an abundant number, since it is smaller than the sum of its proper divisors (5824168328595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5233590953325 is a wasteful number, since it uses less digits than its factorization.

5233590953325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055204 (or 7055193 counting only the distinct ones).

The product of its (nonzero) digits is 16402500, while the sum is 54.

The spelling of 5233590953325 in words is "five trillion, two hundred thirty-three billion, five hundred ninety million, nine hundred fifty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 157 175 189 225 315 471 525 675 785 945 1099 1413 1575 2355 3297 3925 4239 4725 5495 7065 9891 11775 16485 21195 27475 29673 35325 49455 82425 105975 148365 247275 741825 7055021 21165063 35275105 49385147 63495189 105825315 148155441 176375525 190485567 246925735 317475945 444466323 529126575 740777205 952427835 1107638297 1234628675 1333398969 1587379725 2222331615 3322914891 3703886025 4762139175 5538191485 6666994845 7753468079 9968744673 11111658075 16614574455 23260404237 27690957425 29906234019 33334974225 38767340395 49843723365 69781212711 83072872275 116302021185 149531170095 193836701975 209343638133 249218616825 348906063555 581510105925 747655850475 1046718190665 1744530317775 5233590953325