Search a number
-
+
13455132353523 = 32722331152328097
BaseRepresentation
bin1100001111001100010001…
…1000100110001111110011
31202122022001022022122100200
43003303010120212033303
53230422102340303043
644341111422250243
72556046502645100
oct303630430461763
952568038278320
1013455132353523
114318320491323
121613840726983
13767a76455b43
143473363cdaa7
15184eeb2c27d3
hexc3cc46263f3

13455132353523 has 144 divisors (see below), whose sum is σ = 24369117566976. Its totient is φ = 7112194467840.

The previous prime is 13455132353521. The next prime is 13455132353539. The reversal of 13455132353523 is 32535323155431.

13455132353523 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 51 + 3 + 23 + 53 + 523 = 666.

13455132353523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13455132353523 - 21 = 13455132353521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13455132353521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 478867411 + ... + 478895507.

It is an arithmetic number, because the mean of its divisors is an integer number (169229983104).

Almost surely, 213455132353523 is an apocalyptic number.

13455132353523 is a deficient number, since it is larger than the sum of its proper divisors (10913985213453).

13455132353523 is a wasteful number, since it uses less digits than its factorization.

13455132353523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29694 (or 29684 counting only the distinct ones).

The product of its digits is 2430000, while the sum is 45.

The spelling of 13455132353523 in words is "thirteen trillion, four hundred fifty-five billion, one hundred thirty-two million, three hundred fifty-three thousand, five hundred twenty-three".

Divisors: 1 3 7 9 21 23 31 49 63 69 93 147 161 207 217 279 441 483 651 713 1127 1449 1519 1523 1953 2139 3381 4557 4569 4991 6417 10143 10661 13671 13707 14973 28097 31983 34937 35029 44919 47213 74627 84291 95949 104811 105087 141639 196679 223881 245203 252873 314433 315261 330491 424917 590037 646231 671643 735609 871007 991473 1085899 1376753 1716421 1770111 1938693 2206827 2313437 2613021 2974419 3257697 4130259 4523617 5149263 5816079 6097049 6940311 7601293 7839063 9773091 12390777 13570851 15447789 18291147 20033161 20820933 22803879 31665319 40712553 42679343 42791731 53209051 54873441 60099483 68411637 94995957 128038029 128375193 140232127 159627153 180298449 284987871 299542117 384114087 385125579 420696381 478881459 898626351 981624889 984209813 1262089143 1326543661 2096794819 2695879053 2944874667 2952629439 3979630983 6290384457 6889468691 8834624001 8857888317 9285805627 11938892949 18871153371 20668406073 27857416881 30510504203 48226280837 62005218219 65000639389 83572250643 91531512609 144678842511 195001918167 213573529421 274594537827 434036527533 585005754501 640720588263 1495014705947 1922161764789 4485044117841 13455132353523