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494365078321 = 3123726132
BaseRepresentation
bin1110011000110100111…
…01000111001100110001
31202021001011010000212121
413030122131013030301
531044424430001241
61015035211154241
750500553555302
oct7143235071461
91667034100777
10494365078321
11180728220434
127b989a45981
13378068b73aa
1419cdaac87a9
15ccd60b1ad1
hex731a747331

494365078321 has 27 divisors (see below), whose sum is σ = 525863884833. Its totient is φ = 464728246560.

The previous prime is 494365078237. The next prime is 494365078397. The reversal of 494365078321 is 123870563494.

It is a happy number.

The square root of 494365078321 is 703111.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35981916721 + 458383161600 = 189689^2 + 677040^2 .

It is not a de Polignac number, because 494365078321 - 221 = 494362981169 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (494365078721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 806468011 + ... + 806468623.

It is an arithmetic number, because the mean of its divisors is an integer number (19476440179).

It is a 2-persistent number, because it is pandigital, and so is 2⋅494365078321 = 988730156642, but 3⋅494365078321 = 1483095234963 is not.

Almost surely, 2494365078321 is an apocalyptic number.

494365078321 is the 703111-st square number.

494365078321 is the 351556-th centered octagonal number.

It is an amenable number.

494365078321 is a deficient number, since it is larger than the sum of its proper divisors (31498806512).

494365078321 is an frugal number, since it uses more digits than its factorization.

494365078321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 494365078321 in words is "four hundred ninety-four billion, three hundred sixty-five million, seventy-eight thousand, three hundred twenty-one".

Divisors: 1 31 37 613 961 1147 1369 19003 22681 35557 42439 375769 589093 703111 839197 1315609 11648839 13903453 21796441 26015107 361114009 431007043 514427761 806468317 13361218333 15947260591 494365078321