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530433421200 = 243252147342617
BaseRepresentation
bin1111011100000000100…
…10111010111110010000
31212201010211001200201200
413232000102322332100
532142311423434300
61043402221031200
753215430455014
oct7560022727620
91781124050650
10530433421200
11194a56924271
12869750b5500
133b034256707
141b95d052544
15dbe7823200
hex7b804baf90

530433421200 has 90 divisors (see below), whose sum is σ = 1840751326674. Its totient is φ = 141448911360.

The previous prime is 530433421187. The next prime is 530433421229. The reversal of 530433421200 is 2124334035.

530433421200 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 33 + 421 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37090137744 + 493343283456 = 192588^2 + 702384^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×5304334212002 (a number of 24 digits) contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 73667709 + ... + 73674908.

Almost surely, 2530433421200 is an apocalyptic number.

530433421200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530433421200 is an abundant number, since it is smaller than the sum of its proper divisors (1310317905474).

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

530433421200 is a wasteful number, since it uses less digits than its factorization.

530433421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147342641 (or 147342627 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 530433421200 its reverse (2124334035), we get a palindrome (532557755235).

The spelling of 530433421200 in words is "five hundred thirty billion, four hundred thirty-three million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 147342617 294685234 442027851 589370468 736713085 884055702 1178740936 1326083553 1473426170 1768111404 2210139255 2357481872 2652167106 2946852340 3536222808 3683565425 4420278510 5304334212 5893704680 6630417765 7072445616 7367130850 8840557020 10608668424 11050696275 11787409360 13260835530 14734261700 17681114040 21217336848 22101392550 26521671060 29468523400 33152088825 35362228080 44202785100 53043342120 58937046800 66304177650 88405570200 106086684240 132608355300 176811140400 265216710600 530433421200