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146455131697 = 7318323132
BaseRepresentation
bin1000100001100101100…
…1111111011000110001
3112000000201011112201221
42020121121333120301
54344420003203242
6151140333425041
713403203036150
oct2103131773061
9460021145657
10146455131697
1157125116126
122447363b181
1310a70033454
147134a73597
153c227ad167
hex221967f631

146455131697 has 36 divisors (see below), whose sum is σ = 175443803904. Its totient is φ = 119636412480.

The previous prime is 146455131689. The next prime is 146455131707. The reversal of 146455131697 is 796131554641.

146455131697 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 146455131697 - 23 = 146455131689 is a prime.

It is a super-2 number, since 2×1464551316972 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146455131607) 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 35 ways as a sum of consecutive naturals, for example, 467907613 + ... + 467907925.

Almost surely, 2146455131697 is an apocalyptic number.

It is an amenable number.

146455131697 is a deficient number, since it is larger than the sum of its proper divisors (28988672207).

146455131697 is an frugal number, since it uses more digits than its factorization.

146455131697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 434 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 146455131697 in words is "one hundred forty-six billion, four hundred fifty-five million, one hundred thirty-one thousand, six hundred ninety-seven".

Divisors: 1 7 31 83 217 313 581 2191 2573 6889 9703 18011 25979 48223 67921 97969 181853 213559 685783 805349 1494913 2156257 3037039 5637443 8131427 15093799 21259273 56919989 66843967 252074237 467907769 674908441 1764519659 4724359087 20922161671 146455131697