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146630117823 = 377395649131
BaseRepresentation
bin1000100010001111010…
…1100000100110111111
3112000110220102202120120
42020203311200212333
54400244302232243
6151205544150023
713410426302610
oct2104365404677
9460426382516
10146630117823
1157204973862
1224502168313
1310a9a370137
14714ddc3c07
153c32d25c83
hex2223d609bf

146630117823 has 16 divisors (see below), whose sum is σ = 226497144576. Its totient is φ = 82640848320.

The previous prime is 146630117819. The next prime is 146630117849. The reversal of 146630117823 is 328711036641.

It is a happy number.

146630117823 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 146630117823 - 22 = 146630117819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146630117873) 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 15 ways as a sum of consecutive naturals, for example, 47823033 + ... + 47826098.

It is an arithmetic number, because the mean of its divisors is an integer number (14156071536).

Almost surely, 2146630117823 is an apocalyptic number.

146630117823 is a deficient number, since it is larger than the sum of its proper divisors (79867026753).

146630117823 is an equidigital number, since it uses as much as digits as its factorization.

146630117823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95649214.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 146630117823 in words is "one hundred forty-six billion, six hundred thirty million, one hundred seventeen thousand, eight hundred twenty-three".

Divisors: 1 3 7 21 73 219 511 1533 95649131 286947393 669543917 2008631751 6982386563 20947159689 48876705941 146630117823