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146464200506 = 21321381313777
BaseRepresentation
bin1000100001100111110…
…0100101011100111010
3112000001100020021210202
42020121330211130322
54344424313404011
6151141300042202
713403343106631
oct2103174453472
9460040207722
10146464200506
115712a24a708
1224476693362
1310a71b8a200
147135d54518
153c234a023b
hex2219f2573a

146464200506 has 24 divisors (see below), whose sum is σ = 238069016604. Its totient is φ = 67549697280.

The previous prime is 146464200497. The next prime is 146464200511. The reversal of 146464200506 is 605002464641.

146464200506 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 6 ways, for example, as 60840662281 + 85623538225 = 246659^2 + 292615^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146464200506.

It is an unprimeable number.

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, 309890 + ... + 623666.

Almost surely, 2146464200506 is an apocalyptic number.

146464200506 is a deficient number, since it is larger than the sum of its proper divisors (91604816098).

146464200506 is a wasteful number, since it uses less digits than its factorization.

146464200506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315186 (or 315173 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 146464200506 in words is "one hundred forty-six billion, four hundred sixty-four million, two hundred thousand, five hundred six".

Divisors: 1 2 13 26 169 338 1381 2762 17953 35906 233389 313777 466778 627554 4079101 8158202 53028313 106056626 433326037 866652074 5633238481 11266476962 73232100253 146464200506