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502054340000 = 255489282053
BaseRepresentation
bin1110100111001001100…
…01010100010110100000
31202222220000210222221012
413103210301110112200
531211201402340000
61022350210520052
751162242322653
oct7234461242640
91688800728835
10502054340000
11183a1364a554
1281374b96028
133846093ca85
141a429dc589a
15d0d617b735
hex74e4c545a0

502054340000 has 120 divisors (see below), whose sum is σ = 1249011266580. Its totient is φ = 198564608000.

The previous prime is 502054339991. The next prime is 502054340033. The reversal of 502054340000 is 43450205.

It can be written as a sum of positive squares in 10 ways, for example, as 111334334224 + 390720005776 = 333668^2 + 625076^2 .

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 19 ways as a sum of consecutive naturals, for example, 1638974 + ... + 1921026.

Almost surely, 2502054340000 is an apocalyptic number.

502054340000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502054340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624505633290).

502054340000 is an abundant number, since it is smaller than the sum of its proper divisors (746956926580).

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

502054340000 is an equidigital number, since it uses as much as digits as its factorization.

502054340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282172 (or 282149 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 502054340000 its reverse (43450205), we get a palindrome (502097790205).

The spelling of 502054340000 in words is "five hundred two billion, fifty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 7120 8900 10000 11125 14240 17800 20000 22250 35600 44500 55625 71200 89000 111250 178000 222500 282053 356000 445000 564106 890000 1128212 1410265 1780000 2256424 2820530 4512848 5641060 7051325 9025696 11282120 14102650 22564240 25102717 28205300 35256625 45128480 50205434 56410600 70513250 100410868 112821200 125513585 141026500 176283125 200821736 225642400 251027170 282053000 352566250 401643472 502054340 564106000 627567925 705132500 803286944 1004108680 1128212000 1255135850 1410265000 2008217360 2510271700 2820530000 3137839625 4016434720 5020543400 5641060000 6275679250 10041086800 12551358500 15689198125 20082173600 25102717000 31378396250 50205434000 62756792500 100410868000 125513585000 251027170000 502054340000