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145520552625 = 3537311788271
BaseRepresentation
bin1000011110000110110…
…0110110101010110001
3111220121120121000021020
42013201230312222301
54341011230141000
6150503510250053
713341064200630
oct2074154665261
9456546530236
10145520552625
1156795616028
1224252656929
1310951520796
1470868b5517
153bba700ba0
hex21e1b36ab1

145520552625 has 64 divisors (see below), whose sum is σ = 285665722368. Its totient is φ = 64377720000.

The previous prime is 145520552609. The next prime is 145520552699. The reversal of 145520552625 is 526255025541.

It is a happy number.

145520552625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145520552625 - 24 = 145520552609 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 812761 + ... + 975510.

It is an arithmetic number, because the mean of its divisors is an integer number (4463526912).

Almost surely, 2145520552625 is an apocalyptic number.

145520552625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145520552625 is a deficient number, since it is larger than the sum of its proper divisors (140145169743).

145520552625 is a wasteful number, since it uses less digits than its factorization.

145520552625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788327 (or 1788317 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 145520552625 in words is "one hundred forty-five billion, five hundred twenty million, five hundred fifty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 125 155 175 217 375 465 525 651 775 875 1085 2325 2625 3255 3875 5425 11625 16275 27125 81375 1788271 5364813 8941355 12517897 26824065 37553691 44706775 55436401 62589485 134120325 166309203 187768455 223533875 277182005 312947425 388054807 670601625 831546015 938842275 1164164421 1385910025 1564737125 1940274035 4157730075 4694211375 5820822105 6929550125 9701370175 20788650375 29104110525 48506850875 145520552625