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13506642019512 = 23321093309152009
BaseRepresentation
bin1100010010001100001010…
…0110011000010010111000
31202211020000002211210101200
43010203002212120102320
53232243100324111022
644420510553214200
72562552115614315
oct304430246302270
952736002753350
1013506642019512
114338153336814
121621817101360
1376c894bc0645
14349a2141bd0c
15186513470bac
hexc48c29984b8

13506642019512 has 96 divisors (see below), whose sum is σ = 36917915034000. Its totient is φ = 4460688714240.

The previous prime is 13506642019489. The next prime is 13506642019517. The reversal of 13506642019512 is 21591024660531.

It is a happy number.

13506642019512 is a `hidden beast` number, since 1 + 3 + 50 + 6 + 64 + 20 + 1 + 9 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506642019517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 259672164 + ... + 259724172.

Almost surely, 213506642019512 is an apocalyptic number.

13506642019512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13506642019512 is an abundant number, since it is smaller than the sum of its proper divisors (23411273014488).

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

13506642019512 is a wasteful number, since it uses less digits than its factorization.

13506642019512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85221 (or 85214 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13506642019512 in words is "thirteen trillion, five hundred six billion, six hundred forty-two million, nineteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 33091 52009 66182 99273 104018 132364 156027 198546 208036 264728 297819 312054 397092 416072 468081 595638 624108 794184 936162 1191276 1248216 1872324 2382552 3606919 3744648 5668981 7213838 10820757 11337962 14427676 17006943 21641514 22675924 28855352 32462271 34013886 43283028 45351848 51020829 64924542 68027772 86566056 102041658 129849084 136055544 204083316 259698168 408166632 1721029819 3442059638 5163089457 6884119276 10326178914 13768238552 15489268371 20652357828 30978536742 41304715656 61957073484 123914146968 187592250271 375184500542 562776750813 750369001084 1125553501626 1500738002168 1688330252439 2251107003252 3376660504878 4502214006504 6753321009756 13506642019512