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505354135014 = 232257211151749
BaseRepresentation
bin1110101101010010111…
…01000010010111100110
31210022101222221221201100
413112221131002113212
531234431124310024
61024053444540530
751340101162411
oct7265135022746
91708358857640
10505354135014
11185357264373
1281b360b1746
133886847c9c1
141a66034ab78
15d22abdd7c9
hex75a97425e6

505354135014 has 48 divisors (see below), whose sum is σ = 1099736352000. Its totient is φ = 167713198080.

The previous prime is 505354134973. The next prime is 505354135019. The reversal of 505354135014 is 410531453505.

505354135014 is a `hidden beast` number, since 5 + 0 + 53 + 541 + 3 + 50 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 505354135014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505354135019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9739612 + ... + 9791360.

It is an arithmetic number, because the mean of its divisors is an integer number (22911174000).

Almost surely, 2505354135014 is an apocalyptic number.

505354135014 is an abundant number, since it is smaller than the sum of its proper divisors (594382216986).

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

505354135014 is a wasteful number, since it uses less digits than its factorization.

505354135014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54125 (or 54122 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 505354135014 its reverse (410531453505), we get a palindrome (915885588519).

The spelling of 505354135014 in words is "five hundred five billion, three hundred fifty-four million, one hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 257 514 771 1542 2111 2313 4222 4626 6333 12666 18999 37998 51749 103498 155247 310494 465741 542527 931482 1085054 1627581 3255162 4882743 9765486 13299493 26598986 39898479 79796958 109242139 119695437 218484278 239390874 327726417 655452834 983179251 1966358502 28075229723 56150459446 84225689169 168451378338 252677067507 505354135014