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9480573534916 = 2211217328092
BaseRepresentation
bin1000100111110101111000…
…1101111100001011000100
31020120100000110200212100001
42021331132031330023010
52220312203311104131
632055152041131044
71665643310263321
oct211753615741304
936510013625301
109480573534916
113025763669900
121091494a89a84
1353a0253c36c3
1424ac0dc7bb48
15116928ad5261
hex89f5e37c2c4

9480573534916 has 81 divisors (see below), whose sum is σ = 18365115449863. Its totient is φ = 4279146087040.

The previous prime is 9480573534851. The next prime is 9480573534919. The reversal of 9480573534916 is 6194353750849.

The square root of 9480573534916 is 3079054.

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 5928494522500 + 3552079012416 = 2434850^2 + 1884696^2 .

It is a super-2 number, since 2×94805735349162 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9480573534919) 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 26 ways as a sum of consecutive naturals, for example, 11718879120 + ... + 11718879928.

Almost surely, 29480573534916 is an apocalyptic number.

9480573534916 is the 3079054-th square number.

It is an amenable number.

9480573534916 is a deficient number, since it is larger than the sum of its proper divisors (8884541914947).

9480573534916 is an equidigital number, since it uses as much as digits as its factorization.

9480573534916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 64.

Multiplying 9480573534916 by its sum of digits (64), we get a square (606756706234624 = 246324322).

The spelling of 9480573534916 in words is "nine trillion, four hundred eighty billion, five hundred seventy-three million, five hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 11 22 44 121 173 242 346 484 692 809 1618 1903 3236 3806 7612 8899 17798 20933 29929 35596 41866 59858 83732 97889 119716 139957 195778 279914 329219 391556 559828 654481 658438 1308962 1316876 1539527 2617924 3079054 3621409 6158108 7199291 7242818 14398582 14485636 16934797 24212561 28797164 33869594 48425122 67739188 79192201 96850244 113225213 158384402 226450426 266338171 316768804 452900852 532676342 1065352684 1245477343 2490954686 2929719881 4981909372 5859439762 11718879524 13700250773 19587961849 27400501546 39175923698 54801003092 78351847396 215467580339 430935160678 861870321356 2370143383729 4740286767458 9480573534916