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4928453280144 = 2434616672
BaseRepresentation
bin100011110110111111010…
…1101010000000110010000
3122110011012101100011210000
41013231332231100012100
51121221433014431034
614252033350010000
71016032444451142
oct107557655200620
918404171304700
104928453280144
111630166434a19
12677201046900
1329999c37a284
14130777588c92
1588301438599
hex47b7eb50190

4928453280144 has 75 divisors (see below), whose sum is σ = 14264604969307. Its totient is φ = 1642791119904.

The previous prime is 4928453280133. The next prime is 4928453280151. The reversal of 4928453280144 is 4410823548294.

The square root of 4928453280144 is 2220012.

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

4928453280144 is a `hidden beast` number, since 4 + 9 + 28 + 4 + 532 + 80 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 79889599 + ... + 79951265.

Almost surely, 24928453280144 is an apocalyptic number.

4928453280144 is the 2220012-nd square number.

It is an amenable number.

4928453280144 is an abundant number, since it is smaller than the sum of its proper divisors (9336151689163).

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

4928453280144 is an frugal number, since it uses more digits than its factorization.

4928453280144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123354 (or 61672 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

It can be divided in two parts, 49284532 and 80144, that added together give a square (49364676 = 70262).

The spelling of 4928453280144 in words is "four trillion, nine hundred twenty-eight billion, four hundred fifty-three million, two hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 61667 123334 185001 246668 370002 493336 555003 740004 986672 1110006 1480008 1665009 2220012 2960016 3330018 4440024 4995027 6660036 8880048 9990054 13320072 19980108 26640144 39960216 79920432 3802818889 7605637778 11408456667 15211275556 22816913334 30422551112 34225370001 45633826668 60845102224 68450740002 91267653336 102676110003 136901480004 182535306672 205352220006 273802960008 308028330009 410704440012 547605920016 616056660018 821408880024 1232113320036 1642817760048 2464226640072 4928453280144