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515253412000 = 2553128813353
BaseRepresentation
bin1110111111101110111…
…11110010000010100000
31211020221220012022211201
413133313133302002200
531420214333141000
61032412032450544
752140313511305
oct7376737620240
91736856168751
10515253412000
11189577133718
1283a393a9a54
1339785332552
141ad1cd710ac
15d609d0296a
hex77f77f20a0

515253412000 has 48 divisors (see below), whose sum is σ = 1265977643112. Its totient is φ = 206101363200.

The previous prime is 515253411971. The next prime is 515253412019. The reversal of 515253412000 is 214352515.

It can be written as a sum of positive squares in 4 ways, for example, as 104305745296 + 410947666704 = 322964^2 + 641052^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 515253412000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64402677 + ... + 64410676.

Almost surely, 2515253412000 is an apocalyptic number.

515253412000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

515253412000 is an abundant number, since it is smaller than the sum of its proper divisors (750724231112).

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

515253412000 is a wasteful number, since it uses less digits than its factorization.

515253412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128813378 (or 128813360 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 515253412000 its reverse (214352515), we get a palindrome (515467764515).

The spelling of 515253412000 in words is "five hundred fifteen billion, two hundred fifty-three million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 128813353 257626706 515253412 644066765 1030506824 1288133530 2061013648 2576267060 3220333825 4122027296 5152534120 6440667650 10305068240 12881335300 16101669125 20610136480 25762670600 32203338250 51525341200 64406676500 103050682400 128813353000 257626706000 515253412000