Search a number
-
+
16163231306112 = 2732111275507521
BaseRepresentation
bin1110101100110100101110…
…1010010001000110000000
32010020012010101021022101200
43223031023222101012000
54104304244203243422
654213141433301200
73255516640150302
oct353151352210600
963205111238350
1016163231306112
115171873774750
121990661564800
13903256035087
143dc439a49972
151d069939c2ac
hexeb34ba91180

16163231306112 has 96 divisors (see below), whose sum is σ = 50739689225160. Its totient is φ = 4897948876800.

The previous prime is 16163231306081. The next prime is 16163231306171. The reversal of 16163231306112 is 21160313236161.

16163231306112 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 2 + 3 + 1 + 30 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×161632313061122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 637741089 + ... + 637766432.

Almost surely, 216163231306112 is an apocalyptic number.

16163231306112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16163231306112 is an abundant number, since it is smaller than the sum of its proper divisors (34576457919048).

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

16163231306112 is a wasteful number, since it uses less digits than its factorization.

16163231306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275507552 (or 1275507537 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 16163231306112 in words is "sixteen trillion, one hundred sixty-three billion, two hundred thirty-one million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 1275507521 2551015042 3826522563 5102030084 7653045126 10204060168 11479567689 14030582731 15306090252 20408120336 22959135378 28061165462 30612180504 40816240672 42091748193 45918270756 56122330924 61224361008 81632481344 84183496386 91836541512 112244661848 122448722016 126275244579 163264962688 168366992772 183673083024 224489323696 244897444032 252550489158 336733985544 367346166048 448978647392 489794888064 505100978316 673467971088 734692332096 897957294784 1010201956632 1346935942176 1469384664192 1795914589568 2020403913264 2693871884352 4040807826528 5387743768704 8081615653056 16163231306112