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47440053130276 = 2229214927972
BaseRepresentation
bin10101100100101011111111…
…00000111101010000100100
320012222020001212111012020001
422302111333200331100210
522204224212100132101
6244521354243351044
712664300512151432
oct1262257740752044
9205866055435201
1047440053130276
1114130239261374
1253a2249982484
1320617685c6ac1
14ba017a151d52
155740582e3901
hex2b257f83d424

47440053130276 has 81 divisors (see below), whose sum is σ = 86671247810329. Its totient is φ = 22719846760576.

The previous prime is 47440053130259. The next prime is 47440053130357. The reversal of 47440053130276 is 67203135004474.

It is a happy number.

The square root of 47440053130276 is 6887674.

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

47440053130276 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 13 ways, for example, as 41595147324900 + 5844905805376 = 6449430^2 + 2417624^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 59523278310 + ... + 59523279106.

Almost surely, 247440053130276 is an apocalyptic number.

47440053130276 is the 6887674-th square number.

It is an amenable number.

47440053130276 is a deficient number, since it is larger than the sum of its proper divisors (39231194680053).

47440053130276 is an frugal number, since it uses more digits than its factorization.

47440053130276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 47440053130276 in words is "forty-seven trillion, four hundred forty billion, fifty-three million, one hundred thirty thousand, two hundred seventy-six".

Divisors: 1 2 4 29 58 116 149 298 596 797 841 1594 1682 3188 3364 4321 8642 17284 22201 23113 44402 46226 88804 92452 118753 125309 237506 250618 475012 501236 635209 643829 670277 1270418 1287658 1340554 2540836 2575316 2681108 3443837 6887674 13775348 17694197 18421061 18671041 35388394 36842122 37342082 70776788 73684244 74684164 94646141 99871273 189292282 199742546 378584564 399485092 513131713 534210769 1026263426 1068421538 2052526852 2136843076 2744738089 5489476178 10978952356 14102275009 14880819677 28204550018 29761639354 56409100036 59523278708 79597404581 159194809162 318389618324 408965975261 817931950522 1635863901044 11860013282569 23720026565138 47440053130276