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14982249604 = 227412492
BaseRepresentation
bin11011111010000001…
…01111110010000100
31102200010202010201111
431331000233302010
5221140423441404
610514401334404
71040163010000
oct157500576204
942603663644
1014982249604
1163990a8973
122aa1637404
131549c7286a
14a21b23700
155ca4aa104
hex37d02fc84

14982249604 has 45 divisors (see below), whose sum is σ = 30611448357. Its totient is φ = 6415823232.

The previous prime is 14982249571. The next prime is 14982249629. The reversal of 14982249604 is 40694228941.

It is a happy number.

The square root of 14982249604 is 122402.

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

14982249604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6131203204 + 8851046400 = 78302^2 + 94080^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 14 ways as a sum of consecutive naturals, for example, 11994772 + ... + 11996020.

Almost surely, 214982249604 is an apocalyptic number.

14982249604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14982249604 is the 122402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14982249604

14982249604 is an abundant number, since it is smaller than the sum of its proper divisors (15629198753).

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

14982249604 is an frugal number, since it uses more digits than its factorization.

14982249604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 14982249604 by its sum of digits (49), we get a square (734130230596 = 8568142).

14982249604 divided by its sum of digits (49) gives a square (305760196 = 174862).

The spelling of 14982249604 in words is "fourteen billion, nine hundred eighty-two million, two hundred forty-nine thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1249 1372 2401 2498 4802 4996 8743 9604 17486 34972 61201 122402 244804 428407 856814 1560001 1713628 2998849 3120002 5997698 6240004 10920007 11995396 21840014 43680028 76440049 152880098 305760196 535080343 1070160686 2140321372 3745562401 7491124802 14982249604