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148146356177772 = 223312969134133679
BaseRepresentation
bin100001101011110100000010…
…111011110100101101101100
3201102112122122021121002221020
4201223310002323310231230
5123404212214140142042
61243025255123534140
743130135545220211
oct4153640273645554
9642478567532836
10148146356177772
1143227575992aa7
121474790ab2a350
1364881ab99c684
142882471401b08
15121d9601b53ec
hex86bd02ef4b6c

148146356177772 has 48 divisors (see below), whose sum is σ = 356945818521600. Its totient is φ = 47773050756480.

The previous prime is 148146356177749. The next prime is 148146356177789. The reversal of 148146356177772 is 277771653641841.

It is a junction number, because it is equal to n+sod(n) for n = 148146356177697 and 148146356177706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65962372 + ... + 68171307.

It is an arithmetic number, because the mean of its divisors is an integer number (7436371219200).

Almost surely, 2148146356177772 is an apocalyptic number.

148146356177772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148146356177772 is an abundant number, since it is smaller than the sum of its proper divisors (208799462343828).

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

148146356177772 is a wasteful number, since it uses less digits than its factorization.

148146356177772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134136686 (or 134136684 counting only the distinct ones).

The product of its digits is 331914240, while the sum is 69.

The spelling of 148146356177772 in words is "one hundred forty-eight trillion, one hundred forty-six billion, three hundred fifty-six million, one hundred seventy-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 2969 5938 8907 11876 17814 35628 92039 184078 276117 368156 552234 1104468 134133679 268267358 402401037 536534716 804802074 1609604148 4158144049 8316288098 12474432147 16632576196 24948864294 49897728588 398242892951 796485785902 1194728678853 1592971571804 2389457357706 4778914715412 12345529681481 24691059362962 37036589044443 49382118725924 74073178088886 148146356177772