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549816318016 = 2672132412
BaseRepresentation
bin10000000000000111001…
…10110011100001000000
31221120011122101212112221
420000003212303201000
533002010434134031
61100325423500424
754502650410200
oct10000346634100
91846148355487
10549816318016
111a21a2a83559
128a684457714
133cb02b27a24
141c87b3bc400
15e47e2e3a11
hex80039b3840

549816318016 has 63 divisors (see below), whose sum is σ = 1269266881197. Its totient is φ = 235617768960.

The previous prime is 549816317989. The next prime is 549816318053. The reversal of 549816318016 is 610813618945.

The square root of 549816318016 is 741496.

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., 547162007616 + 2654310400 = 739704^2 + 51520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41517156 + ... + 41530396.

Almost surely, 2549816318016 is an apocalyptic number.

549816318016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

549816318016 is the 741496-th square number.

It is an amenable number.

549816318016 is an abundant number, since it is smaller than the sum of its proper divisors (719450563181).

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

549816318016 is an frugal number, since it uses more digits than its factorization.

549816318016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26508 (or 13250 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 549816318016 in words is "five hundred forty-nine billion, eight hundred sixteen million, three hundred eighteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 13241 26482 52964 92687 105928 185374 211856 370748 423712 648809 741496 847424 1297618 1482992 2595236 2965984 5190472 5931968 10380944 20761888 41523776 175324081 350648162 701296324 1227268567 1402592648 2454537134 2805185296 4909074268 5610370592 8590879969 9818148536 11220741184 17181759938 19636297072 34363519876 39272594144 68727039752 78545188288 137454079504 274908159008 549816318016