Search a number
-
+
132545005338165 = 35719318732084479
BaseRepresentation
bin11110001000110010001001…
…111101011011111000110101
3122101022011211022112220121220
4132020302021331123320311
5114333104132331310130
61145522200154500553
736630026536146510
oct3610621175337065
9571264738486556
10132545005338165
1139262026088162
1212a4813a134759
1358c5c2bcc7124
1424a32d90cdd77
15104cbee2ee410
hex788c89f5be35

132545005338165 has 64 divisors (see below), whose sum is σ = 255132347596800. Its totient is φ = 57401121153024.

The previous prime is 132545005338157. The next prime is 132545005338167. The reversal of 132545005338165 is 561833500545231.

It is not a de Polignac number, because 132545005338165 - 23 = 132545005338157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132545005338167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62544396 + ... + 64628874.

It is an arithmetic number, because the mean of its divisors is an integer number (3986442931200).

Almost surely, 2132545005338165 is an apocalyptic number.

132545005338165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132545005338165 is a deficient number, since it is larger than the sum of its proper divisors (122587342258635).

132545005338165 is a wasteful number, since it uses less digits than its factorization.

132545005338165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116386.

The product of its (nonzero) digits is 6480000, while the sum is 51.

The spelling of 132545005338165 in words is "one hundred thirty-two trillion, five hundred forty-five billion, five million, three hundred thirty-eight thousand, one hundred sixty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1995 31873 95619 159365 223111 478095 605587 669333 1115555 1816761 2084479 3027935 3346665 4239109 6253437 9083805 10422395 12717327 14591353 21195545 31267185 39605101 43774059 63586635 72956765 118815303 198025505 218870295 277235707 594076515 831707121 1386178535 4158535605 66438599167 199315797501 332192995835 465070194169 996578987505 1262333384173 1395210582507 2325350970845 3787000152519 6311666920865 6976052912535 8836333689211 18935000762595 26509001067633 44181668446055 132545005338165