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148121068225 = 521323121912
BaseRepresentation
bin1000100111110010110…
…1000010001011000001
3112011022210220220000211
42021330231002023001
54411322443140400
6152013524314121
713462402210024
oct2117455021301
9464283826024
10148121068225
11578aa532979
1224859542941
1310c77214300
14725200d1bb
153cbdb83dba
hex227cb422c1

148121068225 has 81 divisors (see below), whose sum is σ = 206589607497. Its totient is φ = 105299064000.

The previous prime is 148121068223. The next prime is 148121068267. The reversal of 148121068225 is 522860121841.

The square root of 148121068225 is 384865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38178424449 + 109942643776 = 195393^2 + 331576^2 .

It is not a de Polignac number, because 148121068225 - 21 = 148121068223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (148121068223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 775502880 + ... + 775503070.

Almost surely, 2148121068225 is an apocalyptic number.

148121068225 is the 384865-th square number.

148121068225 is the 192433-rd centered octagonal number.

It is an amenable number.

148121068225 is a deficient number, since it is larger than the sum of its proper divisors (58468539272).

148121068225 is an equidigital number, since it uses as much as digits as its factorization.

148121068225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 148121068225 in words is "one hundred forty-eight billion, one hundred twenty-one million, sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 169 191 325 403 775 845 955 961 2015 2483 4225 4775 4805 5239 5921 10075 12415 12493 24025 26195 29605 32279 36481 62075 62465 76973 130975 148025 161395 162409 182405 183551 312325 384865 474253 806975 812045 912025 917755 1000649 1130911 1924325 2371265 2386163 4060225 4588775 5003245 5654555 6165289 11856325 11930815 14701843 25016225 28272775 30826445 31020119 35058241 59654075 73509215 154132225 155100595 175291205 191123959 367546075 455757133 775502975 876456025 955619795 2278785665 4778098975 5924842729 11393928325 29624213645 148121068225