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505053544120 = 2351912719332707
BaseRepresentation
bin1110101100101111000…
…10010111111010111000
31210021122001100100112021
413112113202113322320
531233322201402440
61024003550124224
751326461202206
oct7262742277270
91707561310467
10505053544120
11185212616a44
1281a714b0674
133881b105c78
141a632462076
15d20e61484a
hex7597897eb8

505053544120 has 128 divisors (see below), whose sum is σ = 1206667468800. Its totient is φ = 189713373696.

The previous prime is 505053544067. The next prime is 505053544189. The reversal of 505053544120 is 21445350505.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 186571807 + ... + 186574513.

It is an arithmetic number, because the mean of its divisors is an integer number (9427089600).

Almost surely, 2505053544120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505053544120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603333734400).

505053544120 is an abundant number, since it is smaller than the sum of its proper divisors (701613924680).

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

505053544120 is a wasteful number, since it uses less digits than its factorization.

505053544120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

Adding to 505053544120 its reverse (21445350505), we get a palindrome (526498894625).

The spelling of 505053544120 in words is "five hundred five billion, fifty-three million, five hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 127 152 190 254 380 508 635 760 1016 1270 1933 2413 2540 2707 3866 4826 5080 5414 7732 9652 9665 10828 12065 13535 15464 19304 19330 21656 24130 27070 36727 38660 48260 51433 54140 73454 77320 96520 102866 108280 146908 183635 205732 245491 257165 293816 343789 367270 411464 490982 514330 687578 734540 981964 1028660 1227455 1375156 1469080 1718945 1963928 2057320 2454910 2750312 3437890 4664329 4909820 5232631 6531991 6875780 9328658 9819640 10465262 13063982 13751560 18657316 20930524 23321645 26127964 26163155 32659955 37314632 41861048 46643290 52255928 52326310 65319910 93286580 99419989 104652620 130639820 186573160 198839978 209305240 261279640 397679956 497099945 664544137 795359912 994199890 1329088274 1988399780 2658176548 3322720685 3976799560 5316353096 6645441370 12626338603 13290882740 25252677206 26581765480 50505354412 63131693015 101010708824 126263386030 252526772060 505053544120