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505387420524 = 223375312613243
BaseRepresentation
bin1110101101010110111…
…00000000101101101100
31210022111022121000212000
413112223130000231230
531240013134424044
61024101034212300
751340654123620
oct7265334005554
91708438530760
10505387420524
11185374029258
1281b45284090
133887233527c
141a664933180
15d22dab5d69
hex75ab700b6c

505387420524 has 96 divisors (see below), whose sum is σ = 1525697994240. Its totient is φ = 141671934144.

The previous prime is 505387420523. The next prime is 505387420529. The reversal of 505387420524 is 425024783505.

505387420524 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 87 + 42 + 0 + 524 = 666.

505387420524 is digitally balanced in base 4 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 505387420524.

It is not an unprimeable number, because it can be changed into a prime (505387420523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6266554 + ... + 6346689.

It is an arithmetic number, because the mean of its divisors is an integer number (15892687440).

Almost surely, 2505387420524 is an apocalyptic number.

505387420524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505387420524 is an abundant number, since it is smaller than the sum of its proper divisors (1020310573716).

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

505387420524 is a wasteful number, since it uses less digits than its factorization.

505387420524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613316 (or 12613308 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 505387420524 in words is "five hundred five billion, three hundred eighty-seven million, four hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068 12613243 25226486 37839729 50452972 75679458 88292701 113519187 151358916 176585402 227038374 264878103 340557561 353170804 454076748 529756206 668501879 681115122 794634309 1059512412 1337003758 1362230244 1589268618 2005505637 2383902927 2674007516 3178537236 4011011274 4679513153 4767805854 6016516911 8022022548 9359026306 9535611708 12033033822 14038539459 18049550733 18718052612 24066067644 28077078918 36099101466 42115618377 56154157836 72198202932 84231236754 126346855131 168462473508 252693710262 505387420524