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505430244504152 = 2311219106125901021
BaseRepresentation
bin111001011101011111010011…
…0001011101011001001011000
32110021120122210202122010211222
41302322332212023223021120
51012221432120043113102
64550543240543111212
7211314062426602022
oct16272764613531130
92407518722563758
10505430244504152
11137055843535300
124882b9262a2508
1318903b37cc8396
148cb4d50a99012
153d67601d3caa2
hex1cbafa62eb258

505430244504152 has 96 divisors (see below), whose sum is σ = 1097524726023600. Its totient is φ = 217444243104000.

The previous prime is 505430244504131. The next prime is 505430244504203. The reversal of 505430244504152 is 251405442034505.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6563402 + ... + 32464422.

Almost surely, 2505430244504152 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 505430244504152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548762363011800).

505430244504152 is an abundant number, since it is smaller than the sum of its proper divisors (592094481519448).

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

505430244504152 is a wasteful number, since it uses less digits than its factorization.

505430244504152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25902129 (or 25902114 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 44.

Adding to 505430244504152 its reverse (251405442034505), we get a palindrome (756835686538657).

The spelling of 505430244504152 in words is "five hundred five trillion, four hundred thirty billion, two hundred forty-four million, five hundred four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1061 1672 2122 2299 4244 4598 8488 9196 11671 18392 20159 23342 40318 46684 80636 93368 128381 161272 221749 256762 443498 513524 886996 1027048 1773992 2439239 4878478 9756956 19513912 25901021 51802042 103604084 207208168 284911231 492119399 569822462 984238798 1139644924 1968477596 2279289848 3134023541 3936955192 5413313389 6268047082 10826626778 12536094164 21653253556 25072188328 27480983281 43306507112 54961966562 59546447279 109923933124 119092894558 219847866248 238185789116 302290816091 476371578232 522138682339 604581632182 1044277364678 1209163264364 2088554729356 2418326528728 3325198977001 4177109458712 5743525505729 6650397954002 11487051011458 13300795908004 22974102022916 26601591816008 45948204045832 63178780563019 126357561126038 252715122252076 505430244504152