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105432453153146 = 27179257811120183
BaseRepresentation
bin10111111110001111100111…
…111010110000000101111010
3111211022020120221100000112202
4113332033213322300011322
5102304401131001400041
61012123000023110202
731131146322100310
oct2776174772600572
9454266527300482
10105432453153146
113065971a206359
12b9a96232a2362
1346aa312219932
141c06d5a9000b0
15c2c817a88a9b
hex5fe3e7eb017a

105432453153146 has 64 divisors (see below), whose sum is σ = 182489815572480. Its totient is φ = 44750333276160.

The previous prime is 105432453153133. The next prime is 105432453153169. The reversal of 105432453153146 is 641351354234501.

It is a happy number.

105432453153146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054324531531462 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105432453153146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5223814571 + ... + 5223834753.

It is an arithmetic number, because the mean of its divisors is an integer number (2851403368320).

Almost surely, 2105432453153146 is an apocalyptic number.

105432453153146 is a deficient number, since it is larger than the sum of its proper divisors (77057362419334).

105432453153146 is a wasteful number, since it uses less digits than its factorization.

105432453153146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28739.

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 105432453153146 in words is "one hundred five trillion, four hundred thirty-two billion, four hundred fifty-three million, one hundred fifty-three thousand, one hundred forty-six".

Divisors: 1 2 7 14 179 257 358 514 1253 1799 2506 3598 8111 16222 20183 40366 46003 56777 92006 113554 141281 282562 322021 644042 1451869 2084527 2903738 3612757 4169054 5187031 7225514 10163083 10374062 14591689 20326166 25289299 29183378 36309217 50578598 72618434 163704313 327408626 373130333 746260666 928478549 1145930191 1856957098 2291860382 2611912331 5223824662 6499349843 12998699686 29303072027 42072008441 58606144054 84144016882 205121504189 294504059087 410243008378 589008118174 7530889510939 15061779021878 52716226576573 105432453153146