Search a number
-
+
132548067122025 = 352171312200336067
BaseRepresentation
bin11110001000110101000000…
…011101001101101101101001
3122101022110201200211122111010
4132020311000131031231221
5114333131420140401100
61145523424051254133
736630165444656202
oct3610650035155551
9571273650748433
10132548067122025
1139263357407745
1212a488535aa349
1358c62c9431559
1424a35099ba5a9
15104cd2cee9750
hex788d4074db69

132548067122025 has 96 divisors (see below), whose sum is σ = 233825471497728. Its totient is φ = 66021207782400.

The previous prime is 132548067121997. The next prime is 132548067122129. The reversal of 132548067122025 is 520221760845231.

It is not a de Polignac number, because 132548067122025 - 26 = 132548067121961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3675033042 + ... + 3675069108.

It is an arithmetic number, because the mean of its divisors is an integer number (2435681994768).

Almost surely, 2132548067122025 is an apocalyptic number.

132548067122025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132548067122025 is a deficient number, since it is larger than the sum of its proper divisors (101277404375703).

132548067122025 is a wasteful number, since it uses less digits than its factorization.

132548067122025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58231 (or 58226 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 132548067122025 in words is "one hundred thirty-two trillion, five hundred forty-eight billion, sixty-seven million, one hundred twenty-two thousand, twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 131 255 393 425 655 1275 1965 2227 3275 6681 9825 11135 22003 33405 36067 55675 66009 108201 110015 167025 180335 330045 374051 541005 550075 613139 901675 1122153 1650225 1839417 1870255 2705025 2882393 3065695 4724777 5610765 8647179 9197085 9351275 14174331 14411965 15328475 23623885 28053825 43235895 45985425 49000681 70871655 72059825 80321209 118119425 147002043 216179475 240963627 245003405 354358275 401606045 735010215 793582201 1204818135 1225017025 2008030225 2380746603 3675051075 3967911005 6024090675 11903733015 13490897417 19839555025 40472692251 59518665075 67454487085 103959268331 202363461255 311877804993 337272435425 519796341655 1011817306275 1559389024965 1767307561627 2598981708275 5301922684881 7796945124825 8836537808135 26509613424405 44182689040675 132548067122025