Search a number
-
+
2012642159517 = 3211237131593643
BaseRepresentation
bin11101010010011010110…
…100100010101110011101
321010101222111022002120100
4131102122310202232131
5230433342343101032
64140332310211313
7265260102042003
oct35223264425635
97111874262510
102012642159517
11706614036400
12286091953b39
13117a39766232
146d5ab8aaa73
1537547ce797c
hex1d49ad22b9d

2012642159517 has 144 divisors (see below), whose sum is σ = 3317606195904. Its totient is φ = 1173941683200.

The previous prime is 2012642159503. The next prime is 2012642159537. The reversal of 2012642159517 is 7159512462102.

2012642159517 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 6 + 42 + 1 + 595 + 17 = 666.

2012642159517 is an astonishing number since 2012642159517 = 159517 + ... + 2012642.

It is not a de Polignac number, because 2012642159517 - 24 = 2012642159501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012642159537) 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, 3130080798 + ... + 3130081440.

It is an arithmetic number, because the mean of its divisors is an integer number (23038931916).

Almost surely, 22012642159517 is an apocalyptic number.

It is an amenable number.

2012642159517 is a deficient number, since it is larger than the sum of its proper divisors (1304964036387).

2012642159517 is a wasteful number, since it uses less digits than its factorization.

2012642159517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2012642159517 in words is "two trillion, twelve billion, six hundred forty-two million, one hundred fifty-nine thousand, five hundred seventeen".

Divisors: 1 3 9 11 33 37 99 111 121 131 333 363 393 407 593 643 1089 1179 1221 1441 1779 1929 3663 4323 4477 4847 5337 5787 6523 7073 12969 13431 14541 15851 19569 21219 21941 23791 40293 43623 47553 53317 58707 63657 65823 71373 71753 77683 77803 84233 142659 159951 197469 214119 215259 233049 233409 241351 252699 261701 381299 479853 586487 645777 699147 700227 724053 758097 785103 854513 926563 1143897 1759461 2172159 2355309 2563539 2654861 2779689 2874271 2878711 3116621 3431691 4194289 5278383 7690617 7964583 8339067 8622813 8636133 9349863 9399643 10192193 12582867 14108063 23893749 25868439 25908399 28049589 28198929 30576579 31616981 34282831 37748601 42324189 46137179 49950169 84596787 91729737 94850943 102848493 126972567 138411537 149850507 155188693 284552829 308545479 347786791 377111141 415234611 449551521 465566079 549451859 1043360373 1131333423 1396698237 1648355577 1707075623 1848156253 3130081119 3394000269 4945066731 5121226869 5544468759 6043970449 15363680607 16633406277 18131911347 20329718783 54395734041 60989156349 182967469047 223626906613 670880719839 2012642159517