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434542152512 = 2613602986629
BaseRepresentation
bin1100101001011001011…
…10110000101101000000
31112112121222201112020202
412110230232300231000
524104420242340022
6531343110224332
743252234232006
oct6245456605500
91475558645222
10434542152512
11158319797886
12702733550a8
1331c91a48440
141706396aa76
15b48418a592
hex652cbb0b40

434542152512 has 56 divisors (see below), whose sum is σ = 928789684200. Its totient is φ = 200522336256.

The previous prime is 434542152509. The next prime is 434542152563. The reversal of 434542152512 is 215251245434.

It can be written as a sum of positive squares in 4 ways, for example, as 89343601216 + 345198551296 = 298904^2 + 587536^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4972814 + ... + 5059442.

It is an arithmetic number, because the mean of its divisors is an integer number (16585530075).

Almost surely, 2434542152512 is an apocalyptic number.

It is an amenable number.

434542152512 is an abundant number, since it is smaller than the sum of its proper divisors (494247531688).

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

434542152512 is a wasteful number, since it uses less digits than its factorization.

434542152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92683 (or 92673 counting only the distinct ones).

The product of its digits is 192000, while the sum is 38.

Adding to 434542152512 its reverse (215251245434), we get a palindrome (649793397946).

The spelling of 434542152512 in words is "four hundred thirty-four billion, five hundred forty-two million, one hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 6029 12058 24116 48232 78377 86629 96464 156754 173258 192928 313508 346516 385856 627016 693032 1126177 1254032 1386064 2252354 2508064 2772128 4504708 5016128 5544256 9009416 18018832 36037664 72075328 522286241 1044572482 2089144964 4178289928 6789721133 8356579856 13579442266 16713159712 27158884532 33426319424 54317769064 108635538128 217271076256 434542152512