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491115033616 = 2419292212
BaseRepresentation
bin1110010010110001011…
…11001011010000010000
31201221122122120122200111
413021120233023100100
531021300422033431
61013340511331104
750324200623304
oct7113057132020
91657578518614
10491115033616
1117a30a6a6779
127b221520a94
133740947600c
1419aad1d3d04
15cb95aca7b1
hex7258bcb410

491115033616 has 45 divisors (see below), whose sum is σ = 1004360940093. Its totient is φ = 232608208320.

The previous prime is 491115033583. The next prime is 491115033637. The reversal of 491115033616 is 616330511194.

The square root of 491115033616 is 700796.

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

It can be written as a sum of positive squares in only one way, i.e., 450246368016 + 40868665600 = 671004^2 + 202160^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 53255886 + ... + 53265106.

Almost surely, 2491115033616 is an apocalyptic number.

491115033616 is the 700796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491115033616

491115033616 is an abundant number, since it is smaller than the sum of its proper divisors (513245906477).

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

491115033616 is an frugal number, since it uses more digits than its factorization.

491115033616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 491115033616 in words is "four hundred ninety-one billion, one hundred fifteen million, thirty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 9221 18442 36884 73768 147536 175199 350398 700796 1401592 2803184 3328781 6657562 13315124 26630248 53260496 85026841 170053682 340107364 680214728 1360429456 1615509979 3231019958 6462039916 12924079832 25848159664 30694689601 61389379202 122778758404 245557516808 491115033616