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146106334557 = 3276781211433
BaseRepresentation
bin1000100000010010011…
…1011011110101011101
3111222010101211211000100
42020010213123311131
54343211210201212
6151041553451313
713361436231651
oct2100447336535
9458111754010
10146106334557
1156a66242727
1224396870b39
1310a159ab901
1471005daa61
153c01d60bdc
hex22049dbd5d

146106334557 has 12 divisors (see below), whose sum is σ = 211046230044. Its totient is φ = 97402493760.

The previous prime is 146106334541. The next prime is 146106334559. The reversal of 146106334557 is 755433601641.

146106334557 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 0 + 63 + 34 + 557 = 666.

146106334557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92331507321 + 53774827236 = 303861^2 + 231894^2 .

It is not a de Polignac number, because 146106334557 - 24 = 146106334541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146106334559) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 585313 + ... + 796745.

It is an arithmetic number, because the mean of its divisors is an integer number (17587185837).

Almost surely, 2146106334557 is an apocalyptic number.

It is an amenable number.

146106334557 is a deficient number, since it is larger than the sum of its proper divisors (64939895487).

146106334557 is a wasteful number, since it uses less digits than its factorization.

146106334557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288220 (or 288217 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 146106334557 in words is "one hundred forty-six billion, one hundred six million, three hundred thirty-four thousand, five hundred fifty-seven".

Divisors: 1 3 9 76781 211433 230343 634299 691029 1902897 16234037173 48702111519 146106334557