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505213012350 = 233521117335033
BaseRepresentation
bin1110101101000010000…
…10101100100101111110
31210022001011102011211000
413112201002230211332
531234134012343400
61024031444111130
751333435515154
oct7264102544576
91708034364730
10505213012350
11185294635872
1281ab69954a6
133884516b677
141a6496d33d4
15d21d614600
hex75a10ac97e

505213012350 has 96 divisors (see below), whose sum is σ = 1393393004640. Its totient is φ = 134602456320.

The previous prime is 505213012319. The next prime is 505213012429. The reversal of 505213012350 is 53210312505.

It is a happy number.

505213012350 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 1 + 301 + 2 + 350 = 666.

It is a super-2 number, since 2×5052130123502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340434 + ... + 1675466.

It is an arithmetic number, because the mean of its divisors is an integer number (14514510465).

Almost surely, 2505213012350 is an apocalyptic number.

505213012350 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 505213012350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696696502320).

505213012350 is an abundant number, since it is smaller than the sum of its proper divisors (888179992290).

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

505213012350 is a wasteful number, since it uses less digits than its factorization.

505213012350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336171 (or 336160 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 505213012350 its reverse (53210312505), we get a palindrome (558423324855).

The spelling of 505213012350 in words is "five hundred five billion, two hundred thirteen million, twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1117 1350 2234 3351 5585 6702 10053 11170 16755 20106 27925 30159 33510 50265 55850 60318 83775 100530 150795 167550 251325 301590 335033 502650 670066 753975 1005099 1507950 1675165 2010198 3015297 3350330 5025495 6030594 8375825 9045891 10050990 15076485 16751650 18091782 25127475 30152970 45229455 50254950 75382425 90458910 150764850 226147275 374231861 452294550 748463722 1122695583 1871159305 2245391166 3368086749 3742318610 5613477915 6736173498 9355796525 10104260247 11226955830 16840433745 18711593050 20208520494 28067389575 33680867490 50521301235 56134779150 84202168725 101042602470 168404337450 252606506175 505213012350