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530450241256 = 231321742895381
BaseRepresentation
bin1111011100000010100…
…11000101011011101000
31212201011222201020111201
413232001103011123220
532142330230210011
61043404021333544
753216023441045
oct7560123053350
91781158636451
10530450241256
11194a65372441
128697a8672b4
133b037895600
141b9613901cc
15dbe9046cc1
hex7b814c56e8

530450241256 has 96 divisors (see below), whose sum is σ = 1140816619800. Its totient is φ = 230325288960.

The previous prime is 530450241247. The next prime is 530450241263. The reversal of 530450241256 is 652142054035.

It can be written as a sum of positive squares in 12 ways, for example, as 55963472356 + 474486768900 = 236566^2 + 688830^2 .

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 23 ways as a sum of consecutive naturals, for example, 98575686 + ... + 98581066.

Almost surely, 2530450241256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530450241256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570408309900).

530450241256 is an abundant number, since it is smaller than the sum of its proper divisors (610366378544).

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

530450241256 is a wasteful number, since it uses less digits than its factorization.

530450241256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 530450241256 in words is "five hundred thirty billion, four hundred fifty million, two hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2873 4289 5381 5746 8578 10762 11492 17156 21524 22984 34312 43048 55757 69953 72913 91477 111514 139906 145826 182954 223028 279812 291652 365908 446056 559624 583304 724841 731816 909389 947869 1189201 1449682 1818778 1895738 2378402 2899364 3637556 3791476 4756804 5798728 7275112 7582952 9513608 12322297 15459613 23079109 24644594 30919226 46158218 49289188 61838452 92316436 98578376 123676904 184632872 300028417 392344853 600056834 784689706 1200113668 1569379412 2400227336 3138758824 3900369421 5100483089 7800738842 10200966178 15601477684 20401932356 31202955368 40803864712 66306280157 132612560314 265225120628 530450241256