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106006050514 = 272132317832029
BaseRepresentation
bin110001010111001110…
…0111111011011010010
3101010121202002022200001
41202232130333123102
53214100022104024
6120410513320214
710441633363600
oct1425634773322
9333552068601
10106006050514
1140a58719811
121866526606a
139cc4c164a0
1451b89a6870
152b5666a244
hex18ae73f6d2

106006050514 has 96 divisors (see below), whose sum is σ = 208078053120. Its totient is φ = 40070878848.

The previous prime is 106006050511. The next prime is 106006050559. The reversal of 106006050514 is 415050600601.

It is a super-2 number, since 2×1060060505142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006050511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52244452 + ... + 52246480.

It is an arithmetic number, because the mean of its divisors is an integer number (2167479720).

Almost surely, 2106006050514 is an apocalyptic number.

106006050514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106006050514 is a deficient number, since it is larger than the sum of its proper divisors (102072002606).

106006050514 is a wasteful number, since it uses less digits than its factorization.

106006050514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 106006050514 in words is "one hundred six billion, six million, fifty thousand, five hundred fourteen".

Divisors: 1 2 7 13 14 23 26 46 49 91 98 161 182 299 322 598 637 1127 1274 1783 2029 2093 2254 3566 4058 4186 12481 14203 14651 23179 24962 26377 28406 29302 41009 46358 46667 52754 82018 87367 93334 99421 162253 174734 184639 198842 287063 324506 326669 369278 533117 574126 606671 653338 1066234 1135771 1213342 1292473 2009441 2271542 2286683 2584946 3617707 3731819 4018882 4246697 4573366 7235414 7463638 8493394 25323949 26122733 29726879 47030191 50647898 52245466 59453758 83207261 94060382 166414522 177267643 329211337 354535286 582450827 658422674 1081694393 1164901654 2163388786 2304479359 4077155789 4608958718 7571860751 8154311578 15143721502 53003025257 106006050514