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499819306441 = 721321724572
BaseRepresentation
bin1110100010111111000…
…11010101110111001001
31202210010021012112021111
413101133203111313021
531142112220301231
61021340330210321
751052663002100
oct7213743256711
91683107175244
10499819306441
11182a76a71784
1280a505839a1
1338195893300
141a297229037
15d004d3e4b1
hex745f8d5dc9

499819306441 has 81 divisors (see below), whose sum is σ = 670267364319. Its totient is φ = 371384552448.

The previous prime is 499819306387. The next prime is 499819306457. The reversal of 499819306441 is 144603918994.

The square root of 499819306441 is 706979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 103166228025 + 396653078416 = 321195^2 + 629804^2 .

It is not a de Polignac number, because 499819306441 - 27 = 499819306313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (499819306741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1093696285 + ... + 1093696741.

Almost surely, 2499819306441 is an apocalyptic number.

499819306441 is the 706979-th square number.

499819306441 is the 353490-th centered octagonal number.

It is an amenable number.

499819306441 is a deficient number, since it is larger than the sum of its proper divisors (170448057878).

499819306441 is an equidigital number, since it uses as much as digits as its factorization.

499819306441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 499819306441 in words is "four hundred ninety-nine billion, eight hundred nineteen million, three hundred six thousand, four hundred forty-one".

Divisors: 1 7 13 17 49 91 119 169 221 289 457 637 833 1183 1547 2023 2873 3199 3757 5941 7769 8281 10829 14161 20111 22393 26299 41587 48841 54383 77233 100997 132073 140777 184093 208849 291109 341887 380681 540631 706979 924511 1312961 1461943 1716949 2393209 2715037 3550433 3784417 4948853 6471577 9190727 10233601 12018643 19005259 22320337 24853031 35295481 46155629 60357361 64335089 84130501 133036813 156242359 173971217 247068367 323089403 422501527 600023177 784645693 1093696513 1729478569 2261625821 2957510689 4200162239 5492519851 10200394009 29401135673 38447638957 71402758063 499819306441