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5463033642 = 23211431016353
BaseRepresentation
bin1010001011001111…
…10100011100101010
3112002201122212022100
411011213310130222
542142014034032
62302031434230
7252244006533
oct50547643452
915081585270
105463033642
112353816040
121085685976
13690a6cbb1
1439b79368a
1521e91b97c
hex1459f472a

5463033642 has 96 divisors (see below), whose sum is σ = 13345839936. Its totient is φ = 1600704000.

The previous prime is 5463033629. The next prime is 5463033649. The reversal of 5463033642 is 2463303645.

5463033642 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 0 + 3 + 3 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5463033597 and 5463033606.

It is not an unprimeable number, because it can be changed into a prime (5463033649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856738 + ... + 863090.

It is an arithmetic number, because the mean of its divisors is an integer number (139019166).

Almost surely, 25463033642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463033642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672919968).

5463033642 is an abundant number, since it is smaller than the sum of its proper divisors (7882806294).

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

5463033642 is a wasteful number, since it uses less digits than its factorization.

5463033642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 5463033642 is about 73912.3375492888. The cubic root of 5463033642 is about 1761.2106041297.

It can be divided in two parts, 546303 and 3642, that added together give a palindrome (549945).

The spelling of 5463033642 in words is "five billion, four hundred sixty-three million, thirty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 101 129 198 202 258 303 387 473 606 774 909 946 1111 1419 1818 2222 2838 3333 4257 4343 6353 6666 8514 8686 9999 12706 13029 19059 19998 26058 38118 39087 47773 57177 69883 78174 95546 114354 139766 143319 209649 273179 286638 419298 429957 546358 628947 641653 819537 859914 1257894 1283306 1639074 1924959 2458611 3004969 3849918 4917222 5774877 6009938 7058183 9014907 11549754 14116366 18029814 21174549 27044721 27591079 42349098 54089442 55182158 63523647 82773237 127047294 165546474 248319711 303501869 496639422 607003738 910505607 1821011214 2731516821 5463033642