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146551256514 = 232131321474101
BaseRepresentation
bin1000100001111100100…
…0101011010111000010
3112000021102001012012100
42020133020223113002
54400114110202024
6151154050011230
713405451061345
oct2103710532702
9460242035170
10146551256514
1157174400123
122449b876b16
1310a86c1b140
14714373645c
153c2ae497c9
hex221f22b5c2

146551256514 has 48 divisors (see below), whose sum is σ = 342212512824. Its totient is φ = 45058464000.

The previous prime is 146551256473. The next prime is 146551256519. The reversal of 146551256514 is 415652155641.

146551256514 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 5 + 125 + 6 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135265806225 + 11285450289 = 367785^2 + 106233^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146551256514.

It is not an unprimeable number, because it can be changed into a prime (146551256519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72064 + ... + 546164.

Almost surely, 2146551256514 is an apocalyptic number.

146551256514 is an abundant number, since it is smaller than the sum of its proper divisors (195661256310).

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

146551256514 is a wasteful number, since it uses less digits than its factorization.

146551256514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475443 (or 475440 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The spelling of 146551256514 in words is "one hundred forty-six billion, five hundred fifty-one million, two hundred fifty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1321 2642 3963 7926 11889 17173 23778 34346 51519 103038 154557 309114 474101 948202 1422303 2844606 4266909 6163313 8533818 12326626 18489939 36979878 55469817 110939634 626287421 1252574842 1878862263 3757724526 5636586789 8141736473 11273173578 16283472946 24425209419 48850418838 73275628257 146551256514