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505056001014 = 232476124140609
BaseRepresentation
bin1110101100101111010…
…11101111101111110110
31210021122012222011202100
413112113223233233312
531233323314013024
61024004114522530
751326521114155
oct7262753575766
91707565864670
10505056001014
11185213a44934
1281a72296446
133881b786356
141a63290159c
15d20e94c7c9
hex7597aefbf6

505056001014 has 96 divisors (see below), whose sum is σ = 1140632887680. Its totient is φ = 161392435200.

The previous prime is 505056001001. The next prime is 505056001019. The reversal of 505056001014 is 410100650505.

It is a happy number.

505056001014 is a `hidden beast` number, since 5 + 0 + 50 + 5 + 600 + 1 + 0 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505056001019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12416742 + ... + 12457350.

It is an arithmetic number, because the mean of its divisors is an integer number (11881592580).

Almost surely, 2505056001014 is an apocalyptic number.

505056001014 is an abundant number, since it is smaller than the sum of its proper divisors (635576886666).

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

505056001014 is a wasteful number, since it uses less digits than its factorization.

505056001014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40966 (or 40963 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 505056001014 its reverse (410100650505), we get a palindrome (915156651519).

The spelling of 505056001014 in words is "five hundred five billion, fifty-six million, one thousand, fourteen".

Divisors: 1 2 3 6 9 18 47 61 94 122 141 183 241 282 366 423 482 549 723 846 1098 1446 2169 2867 4338 5734 8601 11327 14701 17202 22654 25803 29402 33981 40609 44103 51606 67962 81218 88206 101943 121827 132309 203886 243654 264618 365481 690947 730962 1381894 1908623 2072841 2477149 3817246 4145682 4954298 5725869 6218523 7431447 9786769 11451738 12437046 14862894 17177607 19573538 22294341 29360307 34355214 44588682 58720614 88080921 116426003 176161842 232852006 349278009 459978143 596992909 698556018 919956286 1047834027 1193985818 1379934429 1790978727 2095668054 2759868858 3581957454 4139803287 5372936181 8279606574 10745872362 28058666723 56117333446 84176000169 168352000338 252528000507 505056001014