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505500006300 = 2235229431351243
BaseRepresentation
bin1110101101100100010…
…01011111011110011100
31210022210011102222111120
413112302021133132130
531240231000200200
61024120135250540
751343522105212
oct7266211373634
91708704388446
10505500006300
11185421636653
1281b76b19a50
133888c764583
141a67587ccb2
15d2389049a0
hex75b225f79c

505500006300 has 144 divisors (see below), whose sum is σ = 1548201325440. Its totient is φ = 127124847360.

The previous prime is 505500006293. The next prime is 505500006317. The reversal of 505500006300 is 3600005505.

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 47 ways as a sum of consecutive naturals, for example, 301522 + ... + 1049721.

Almost surely, 2505500006300 is an apocalyptic number.

505500006300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505500006300 is an abundant number, since it is smaller than the sum of its proper divisors (1042701319140).

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

505500006300 is a wasteful number, since it uses less digits than its factorization.

505500006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351332 (or 1351325 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The spelling of 505500006300 in words is "five hundred five billion, five hundred million, six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 43 50 58 60 75 86 87 100 116 129 145 150 172 174 215 258 290 300 348 430 435 516 580 645 725 860 870 1075 1247 1290 1450 1740 2150 2175 2494 2580 2900 3225 3741 4300 4350 4988 6235 6450 7482 8700 12470 12900 14964 18705 24940 31175 37410 62350 74820 93525 124700 187050 374100 1351243 2702486 4053729 5404972 6756215 8107458 13512430 16214916 20268645 27024860 33781075 39186047 40537290 58103449 67562150 78372094 81074580 101343225 116206898 117558141 135124300 156744188 174310347 195930235 202686450 232413796 235116282 290517245 348620694 391860470 405372900 470232564 581034490 587790705 697241388 783720940 871551735 979651175 1162068980 1175581410 1452586225 1685000021 1743103470 1959302350 2351162820 2905172450 2938953525 3370000042 3486206940 3918604700 4357758675 5055000063 5810344900 5877907050 6740000084 8425000105 8715517350 10110000126 11755814100 16850000210 17431034700 20220000252 25275000315 33700000420 42125000525 50550000630 84250001050 101100001260 126375001575 168500002100 252750003150 505500006300