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18986307299584 = 282723332
BaseRepresentation
bin1000101000100100110000…
…00110100010100100000000
32111020001222101210211101021
410110102120012202210000
54442032424132041314
6104214104505315224
73666500252155312
oct424223006424400
974201871724337
1018986307299584
116060058553709
12216780ba95b14
13a7952a291801
14498d294917b2
1522dd2648d324
hex1144981a2900

18986307299584 has 27 divisors (see below), whose sum is σ = 37898588498953. Its totient is φ = 9493118791168.

The previous prime is 18986307299581. The next prime is 18986307299639. The reversal of 18986307299584 is 48599270368981.

The square root of 18986307299584 is 4357328.

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., 1799246649600 + 17187060649984 = 1341360^2 + 4145728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18986307299581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 69581082 + ... + 69853414.

It is a 1-persistent number, because it is pandigital, but 2⋅18986307299584 = 37972614599168 is not.

Almost surely, 218986307299584 is an apocalyptic number.

18986307299584 is the 4357328-th square number.

It is an amenable number.

18986307299584 is a deficient number, since it is larger than the sum of its proper divisors (18912281199369).

18986307299584 is an frugal number, since it uses more digits than its factorization.

18986307299584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544682 (or 272335 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 79.

The spelling of 18986307299584 in words is "eighteen trillion, nine hundred eighty-six billion, three hundred seven million, two hundred ninety-nine thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 272333 544666 1089332 2178664 4357328 8714656 17429312 34858624 69717248 74165262889 148330525778 296661051556 593322103112 1186644206224 2373288412448 4746576824896 9493153649792 18986307299584