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5145233418 = 23213294118493
BaseRepresentation
bin1001100101010111…
…00000100000001010
3111021120122221100200
410302223200200022
541014134432133
62210320113030
7241334522343
oct46253404012
914246587320
105145233418
112200394026
12bb7165776
1363cc7c020
1436b4a90ca
15201a93913
hex132ae080a

5145233418 has 96 divisors (see below), whose sum is σ = 12723132240. Its totient is φ = 1491194880.

The previous prime is 5145233417. The next prime is 5145233437. The reversal of 5145233418 is 8143325415.

5145233418 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 233 + 418 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 372219849 + 4773013569 = 19293^2 + 69087^2 .

It is a super-3 number, since 3×51452334183 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5145233417) 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, 268980 + ... + 287472.

Almost surely, 25145233418 is an apocalyptic number.

5145233418 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145233418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361566120).

5145233418 is an abundant number, since it is smaller than the sum of its proper divisors (7577898822).

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

5145233418 is a wasteful number, since it uses less digits than its factorization.

5145233418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18584 (or 18581 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5145233418 is about 71730.2824335719. The cubic root of 5145233418 is about 1726.3745585885.

The spelling of 5145233418 in words is "five billion, one hundred forty-five million, two hundred thirty-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 41 58 78 82 87 117 123 174 234 246 261 369 377 522 533 738 754 1066 1131 1189 1599 2262 2378 3198 3393 3567 4797 6786 7134 9594 10701 15457 18493 21402 30914 36986 46371 55479 92742 110958 139113 166437 240409 278226 332874 480818 536297 721227 758213 1072594 1442454 1516426 1608891 2163681 2274639 3217782 4327362 4549278 4826673 6823917 6971861 9653346 9856769 13647834 13943722 19713538 20915583 21988177 29570307 41831166 43976354 59140614 62746749 65964531 88710921 125493498 131929062 177421842 197893593 285846301 395787186 571692602 857538903 1715077806 2572616709 5145233418