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5463234414 = 23211792331499
BaseRepresentation
bin1010001011010001…
…00101011101101110
3112002202001001201100
411011220211131232
542142042000124
62302040023530
7252245504061
oct50550453556
915082031640
105463234414
112353942970
121085761ba6
13690b103b1
1439b8068d8
1521e95b1c9
hex145a2576e

5463234414 has 96 divisors (see below), whose sum is σ = 13141440000. Its totient is φ = 1626468480.

The previous prime is 5463234353. The next prime is 5463234419. The reversal of 5463234414 is 4144323645.

5463234414 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 234 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5463234419) 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, 3643837 + ... + 3645335.

It is an arithmetic number, because the mean of its divisors is an integer number (136890000).

Almost surely, 25463234414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5463234414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570720000).

5463234414 is an abundant number, since it is smaller than the sum of its proper divisors (7678205586).

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

5463234414 is a wasteful number, since it uses less digits than its factorization.

5463234414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1827 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 5463234414 is about 73913.6957133115. The cubic root of 5463234414 is about 1761.2321792878.

The spelling of 5463234414 in words is "five billion, four hundred sixty-three million, two hundred thirty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 233 237 466 474 699 711 869 1398 1422 1499 1738 2097 2563 2607 2998 4194 4497 5126 5214 7689 7821 8994 13491 15378 15642 16489 18407 23067 26982 32978 36814 46134 49467 55221 98934 110442 118421 148401 165663 202477 236842 296802 331326 349267 355263 404954 607431 698534 710526 1047801 1065789 1214862 1302631 1822293 2095602 2131578 2605262 3143403 3644586 3841937 3907893 6286806 7683874 7815786 11525811 11723679 23051622 23447358 27592093 34577433 55184186 69154866 82776279 165552558 248328837 303513023 496657674 607026046 910539069 1821078138 2731617207 5463234414