Search a number
-
+
47166560207144 = 2375361725756399
BaseRepresentation
bin10101011100101110100100…
…00100010000000100101000
320012000002010200022012002122
422232113102010100010220
522140234103403112034
6244152004005050412
712635446221521420
oct1256272204200450
9205002120265078
1047166560207144
1114035253675274
1253592416b6a08
132041a31300b81
14b90c335bd480
1556bd9cc9d62e
hex2ae5d2110128

47166560207144 has 64 divisors (see below), whose sum is σ = 103145109696000. Its totient is φ = 19800694577664.

The previous prime is 47166560207113. The next prime is 47166560207153. The reversal of 47166560207144 is 44170206566174.

47166560207144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×471665602071443 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 15 ways as a sum of consecutive naturals, for example, 11046944 + ... + 14709455.

It is an arithmetic number, because the mean of its divisors is an integer number (1611642339000).

Almost surely, 247166560207144 is an apocalyptic number.

It is an amenable number.

47166560207144 is an abundant number, since it is smaller than the sum of its proper divisors (55978549488856).

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

47166560207144 is a wasteful number, since it uses less digits than its factorization.

47166560207144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25757082 (or 25757078 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 47166560207144 in words is "forty-seven trillion, one hundred sixty-six billion, five hundred sixty million, two hundred seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 617 742 1234 1484 2468 2968 4319 4936 8638 17276 32701 34552 65402 130804 228907 261608 457814 915628 1831256 25756399 51512798 103025596 180294793 206051192 360589586 721179172 1365089147 1442358344 2730178294 5460356588 9555624029 10920713176 15891698183 19111248058 31783396366 38222496116 63566792732 76444992232 111241887281 127133585464 222483774562 444967549124 842260003699 889935098248 1684520007398 3369040014796 5895820025893 6738080029592 11791640051786 23583280103572 47166560207144