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16427872461 = 37112133713441
BaseRepresentation
bin11110100110010110…
…10111000011001101
31120101212221101110210
433103023113003031
5232121013404321
611314042153033
71121045416620
oct172313270315
946355841423
1016427872461
116a70118800
1232257b2779
13171a6062c0
14b1bb0ddb7
15662362b76
hex3d32d70cd

16427872461 has 96 divisors (see below), whose sum is σ = 30435268864. Its totient is φ = 7664025600.

The previous prime is 16427872423. The next prime is 16427872471.

16427872461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16427872461 - 215 = 16427839693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16427872461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16427872471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1215501 + ... + 1228941.

Almost surely, 216427872461 is an apocalyptic number.

16427872461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16427872461 is a deficient number, since it is larger than the sum of its proper divisors (14007396403).

16427872461 is a wasteful number, since it uses less digits than its factorization.

16427872461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13523 (or 13512 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

It can be divided in two parts, 16427 and 872461, that added together give a palindrome (888888).

The spelling of 16427872461 in words is "sixteen billion, four hundred twenty-seven million, eight hundred seventy-two thousand, four hundred sixty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 121 143 231 259 273 363 407 429 481 777 847 1001 1221 1443 1573 2541 2849 3003 3367 4477 4719 5291 8547 10101 11011 13431 13441 15873 31339 33033 37037 40323 58201 94017 94087 111111 147851 174603 174733 282261 407407 443553 497317 524199 1034957 1222221 1223131 1491951 1626361 1922063 3104871 3481219 3669393 4879083 5470487 5766189 6465121 10443657 11384527 13454441 16411461 19395363 21142693 34153581 38293409 40363323 45255847 60175357 63428079 71116331 114880227 135767541 147998851 180526071 213348993 421227499 443996553 497814317 782279641 1263682497 1493442951 2346838923 5475957487 16427872461