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505550445150 = 235247318122543
BaseRepresentation
bin1110101101101010010…
…01111001101001011110
31210022220200100112121010
413112311021321221132
531240331403221100
61024125140320050
751345003611232
oct7266511715136
91708820315533
10505550445150
11185448057053
1281b8b9a3026
133889a04464a
141a67c44c5c2
15d23d069750
hex75b5279a5e

505550445150 has 96 divisors (see below), whose sum is σ = 1280900302848. Its totient is φ = 131897750400.

The previous prime is 505550445137. The next prime is 505550445157. The reversal of 505550445150 is 51544055505.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505550445099 and 505550445108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505550445157) by changing a digit.

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, 22414779 + ... + 22437321.

It is an arithmetic number, because the mean of its divisors is an integer number (13342711488).

Almost surely, 2505550445150 is an apocalyptic number.

505550445150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505550445150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640450151424).

505550445150 is an abundant number, since it is smaller than the sum of its proper divisors (775349857698).

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

505550445150 is a wasteful number, since it uses less digits than its factorization.

505550445150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 39.

The spelling of 505550445150 in words is "five hundred five billion, five hundred fifty million, four hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3181 3525 6362 7050 9543 15905 19086 22543 31810 45086 47715 67629 79525 95430 112715 135258 149507 159050 225430 238575 299014 338145 448521 477150 563575 676290 747535 897042 1059521 1127150 1495070 1690725 2119042 2242605 3178563 3381450 3737675 4485210 5297605 6357126 7475350 10595210 11213025 15892815 22426050 26488025 31785630 52976050 71709283 79464075 143418566 158928150 215127849 358546415 430255698 717092830 1075639245 1792732075 2151278490 3370336301 3585464150 5378196225 6740672602 10111008903 10756392450 16851681505 20222017806 33703363010 50555044515 84258407525 101110089030 168516815050 252775222575 505550445150