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1530501320000 = 2654143326701
BaseRepresentation
bin10110010001011000111…
…111001100110101000000
312102022111021020201212002
4112101120333030311000
5200033431314220000
63131034054523132
7215401151366522
oct26213077146500
95368437221762
101530501320000
1154009a105574
122087559664a8
13b1430606553
14541104d1a12
1529c29eec8d5
hex16458fccd40

1530501320000 has 140 divisors (see below), whose sum is σ = 3797936486916. Its totient is φ = 611750400000.

The previous prime is 1530501319877. The next prime is 1530501320039. The reversal of 1530501320000 is 231050351.

It can be written as a sum of positive squares in 10 ways, for example, as 1272347904256 + 258153415744 = 1127984^2 + 508088^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57306650 + ... + 57333350.

Almost surely, 21530501320000 is an apocalyptic number.

1530501320000 is a gapful number since it is divisible by the number (10) 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 1530501320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898968243458).

1530501320000 is an abundant number, since it is smaller than the sum of its proper divisors (2267435166916).

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

1530501320000 is an equidigital number, since it uses as much as digits as its factorization.

1530501320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28166 (or 28141 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 1530501320000 its reverse (231050351), we get a palindrome (1530732370351).

The spelling of 1530501320000 in words is "one trillion, five hundred thirty billion, five hundred one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1433 1600 2000 2500 2866 4000 5000 5732 7165 8000 10000 11464 14330 20000 22928 26701 28660 35825 40000 45856 53402 57320 71650 91712 106804 114640 133505 143300 179125 213608 229280 267010 286600 358250 427216 458560 534020 573200 667525 716500 854432 895625 1068040 1146400 1335050 1433000 1708864 1791250 2136080 2292800 2670100 2866000 3337625 3582500 4272160 5340200 5732000 6675250 7165000 8544320 10680400 11464000 13350500 14330000 16688125 21360800 26701000 28660000 33376250 38262533 42721600 53402000 57320000 66752500 76525066 106804000 133505000 153050132 191312665 213608000 267010000 306100264 382625330 534020000 612200528 765250660 956563325 1068040000 1224401056 1530501320 1913126650 2448802112 3061002640 3826253300 4782816625 6122005280 7652506600 9565633250 12244010560 15305013200 19131266500 23914083125 30610026400 38262533000 47828166250 61220052800 76525066000 95656332500 153050132000 191312665000 306100264000 382625330000 765250660000 1530501320000