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148788189225 = 3652131724153
BaseRepresentation
bin1000101010010001110…
…1111001100000101001
3112020001022020011000000
42022210131321200221
54414204234023400
6152204035133213
713515052512144
oct2124435714051
9466038204000
10148788189225
1158112065845
1224a04a44209
13110524b1170
1472b686905b
153d0c50e600
hex22a4779829

148788189225 has 504 divisors, whose sum is σ = 330286875912. Its totient is φ = 65990246400.

The previous prime is 148788189203. The next prime is 148788189227. The reversal of 148788189225 is 522981887841.

It can be written as a sum of positive squares in 36 ways, for example, as 143844974361 + 4943214864 = 379269^2 + 70308^2 .

It is not a de Polignac number, because 148788189225 - 219 = 148787664937 is a prime.

It is a super-2 number, since 2×1487881892252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148788189227) by changing a digit.

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 503 ways as a sum of consecutive naturals, for example, 2807324299 + ... + 2807324351.

It is an arithmetic number, because the mean of its divisors is an integer number (655331103).

Almost surely, 2148788189225 is an apocalyptic number.

148788189225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148788189225 is an abundant number, since it is smaller than the sum of its proper divisors (181498686687).

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

148788189225 is a wasteful number, since it uses less digits than its factorization.

148788189225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 63.

The spelling of 148788189225 in words is "one hundred forty-eight billion, seven hundred eighty-eight million, one hundred eighty-nine thousand, two hundred twenty-five".