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252780000507 = 3419164249513
BaseRepresentation
bin1110101101101011011…
…1001011010011111011
3220011110200011111220000
43223122313023103323
513120143140004012
6312043040404043
724156060360336
oct3533267132373
9804420144800
10252780000507
11982267a1831
1240ba7616623
131aab6005cc8
14c33db0b61d
156896e02ddc
hex3adadcb4fb

252780000507 has 20 divisors (see below), whose sum is σ = 397483823880. Its totient is φ = 159650525664.

The previous prime is 252780000503. The next prime is 252780000527. The reversal of 252780000507 is 705000087252.

252780000507 is a `hidden beast` number, since 2 + 527 + 80 + 0 + 0 + 0 + 50 + 7 = 666.

It is not a de Polignac number, because 252780000507 - 22 = 252780000503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252780000503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82123218 + ... + 82126295.

It is an arithmetic number, because the mean of its divisors is an integer number (19874191194).

Almost surely, 2252780000507 is an apocalyptic number.

252780000507 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

252780000507 is a deficient number, since it is larger than the sum of its proper divisors (144703823373).

252780000507 is a wasteful number, since it uses less digits than its factorization.

252780000507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164249544 (or 164249535 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 252780000507 its reverse (705000087252), we get a palindrome (957780087759).

The spelling of 252780000507 in words is "two hundred fifty-two billion, seven hundred eighty million, five hundred seven", and thus it is an aban number.

Divisors: 1 3 9 19 27 57 81 171 513 1539 164249513 492748539 1478245617 3120740747 4434736851 9362222241 13304210553 28086666723 84260000169 252780000507