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505203411104 = 25721719997511
BaseRepresentation
bin1110101101000000111…
…10000100100010100000
31210022000111100101101022
413112200132010202200
531234124033123404
61024030502225012
751333261066200
oct7264036044240
91708014311338
10505203411104
1118528a178257
1281ab3725168
1338843189462
141a648314400
15d21c8698be
hex75a07848a0

505203411104 has 144 divisors (see below), whose sum is σ = 1289543613120. Its totient is φ = 193054095360.

The previous prime is 505203411101. The next prime is 505203411107. The reversal of 505203411104 is 401114302505.

It is an interprime number because it is at equal distance from previous prime (505203411101) and next prime (505203411107).

It is a super-2 number, since 2×5052034111042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505203411101) 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, 7709 + ... + 1005219.

It is an arithmetic number, because the mean of its divisors is an integer number (8955163980).

Almost surely, 2505203411104 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 505203411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644771806560).

505203411104 is an abundant number, since it is smaller than the sum of its proper divisors (784340202016).

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

505203411104 is a wasteful number, since it uses less digits than its factorization.

505203411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997571 (or 997556 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 505203411104 its reverse (401114302505), we get a palindrome (906317713609).

The spelling of 505203411104 in words is "five hundred five billion, two hundred three million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 68 76 98 112 119 133 136 152 196 224 238 266 272 304 323 392 476 532 544 608 646 784 833 931 952 1064 1292 1568 1666 1862 1904 2128 2261 2584 3332 3724 3808 4256 4522 5168 6664 7448 9044 10336 13328 14896 15827 18088 26656 29792 31654 36176 63308 72352 126616 253232 506464 997511 1995022 3990044 6982577 7980088 13965154 15960176 16957687 18952709 27930308 31920352 33915374 37905418 48878039 55860616 67830748 75810836 97756078 111721232 118703809 132668963 135661496 151621672 195512156 223442464 237407618 265337926 271322992 303243344 322196053 391024312 474815236 530675852 542645984 606486688 644392106 782048624 830926663 928682741 949630472 1061351704 1288784212 1564097248 1661853326 1857365482 1899260944 2122703408 2255372371 2577568424 3323706652 3714730964 3798521888 4245406816 4510744742 5155136848 6647413304 7429461928 9021489484 10310273696 13294826608 14858923856 15787606597 18042978968 26589653216 29717847712 31575213194 36085957936 63150426388 72171915872 126300852776 252601705552 505203411104