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993143841 = 323163227389
BaseRepresentation
bin111011001100100…
…010110000100001
32120012202221020020
4323030202300201
54013221100331
6242314304053
733416404044
oct7314426041
92505687206
10993143841
1146a670738
12238728029
1312a9a95a1
1495c84c5b
155c2c9c96
hex3b322c21

993143841 has 32 divisors (see below), whose sum is σ = 1399956480. Its totient is φ = 625040064.

The previous prime is 993143821. The next prime is 993143843. The reversal of 993143841 is 148341399.

It is not a de Polignac number, because 993143841 - 26 = 993143777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 993143793 and 993143802.

It is not an unprimeable number, because it can be changed into a prime (993143843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2552875 + ... + 2553263.

It is an arithmetic number, because the mean of its divisors is an integer number (43748640).

Almost surely, 2993143841 is an apocalyptic number.

It is an amenable number.

993143841 is a deficient number, since it is larger than the sum of its proper divisors (406812639).

993143841 is a wasteful number, since it uses less digits than its factorization.

993143841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805.

The product of its digits is 93312, while the sum is 42.

The square root of 993143841 is about 31514.1847586131. The cubic root of 993143841 is about 997.7093706903.

The spelling of 993143841 in words is "nine hundred ninety-three million, one hundred forty-three thousand, eight hundred forty-one".

Divisors: 1 3 23 69 163 227 389 489 681 1167 3749 5221 8947 11247 15663 26841 37001 63407 88303 111003 190221 264909 851023 1458361 2030969 2553069 4375083 6092907 14393389 43180167 331047947 993143841