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1505125050 = 2352112136379
BaseRepresentation
bin101100110110110…
…0110001010111010
310212220011021102020
41121231212022322
511040303000200
6405204015310
752204231452
oct13155461272
93786137366
101505125050
11702670800
12360091536
131aca97c50
14103c78d62
158c20cea0
hex59b662ba

1505125050 has 144 divisors (see below), whose sum is σ = 4419196320. Its totient is φ = 336758400.

The previous prime is 1505125021. The next prime is 1505125093. The reversal of 1505125050 is 505215051.

It is a super-2 number, since 2×15051250502 = 4530802832275005000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1505125050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232761 + ... + 239139.

Almost surely, 21505125050 is an apocalyptic number.

1505125050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1505125050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209598160).

1505125050 is an abundant number, since it is smaller than the sum of its proper divisors (2914071270).

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

1505125050 is a wasteful number, since it uses less digits than its factorization.

1505125050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 1505125050 is about 38795.9411536826. The cubic root of 1505125050 is about 1146.0164756151.

Subtracting from 1505125050 its reverse (505215051), we obtain a palindrome (999909999).

The spelling of 1505125050 in words is "one billion, five hundred five million, one hundred twenty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 121 130 143 150 165 195 242 275 286 325 330 363 390 429 550 605 650 715 726 825 858 975 1210 1430 1573 1650 1815 1950 2145 3025 3146 3575 3630 4290 4719 6050 6379 7150 7865 9075 9438 10725 12758 15730 18150 19137 21450 23595 31895 38274 39325 47190 63790 70169 78650 82927 95685 117975 140338 159475 165854 191370 210507 235950 248781 318950 350845 414635 421014 478425 497562 701690 771859 829270 912197 956850 1052535 1243905 1543718 1754225 1824394 2073175 2105070 2315577 2487810 2736591 3508450 3859295 4146350 4560985 4631154 5262675 5473182 6219525 7718590 9121970 10034167 10525350 11577885 12439050 13682955 19296475 20068334 22804925 23155770 27365910 30102501 38592950 45609850 50170835 57889425 60205002 68414775 100341670 115778850 136829550 150512505 250854175 301025010 501708350 752562525 1505125050