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5641333434 = 232111913111447
BaseRepresentation
bin1010100000011111…
…11110101010111010
3112120011011102122100
411100033332222322
543023140132214
62331441204230
7256540354152
oct52017765272
915504142570
105641333434
112435427340
121115330676
136bb999c29
143b7327762
152303db309
hex1503feaba

5641333434 has 96 divisors (see below), whose sum is σ = 14144232960. Its totient is φ = 1607018400.

The previous prime is 5641333429. The next prime is 5641333463. The reversal of 5641333434 is 4343331465.

5641333434 is a `hidden beast` number, since 5 + 641 + 3 + 3 + 3 + 4 + 3 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487099 + ... + 498545.

It is an arithmetic number, because the mean of its divisors is an integer number (147335760).

Almost surely, 25641333434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5641333434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072116480).

5641333434 is an abundant number, since it is smaller than the sum of its proper divisors (8502899526).

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

5641333434 is a wasteful number, since it uses less digits than its factorization.

5641333434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11616 (or 11613 counting only the distinct ones).

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

The square root of 5641333434 is about 75108.8106283144. The cubic root of 5641333434 is about 1780.1663601194.

Adding to 5641333434 its reverse (4343331465), we get a palindrome (9984664899).

The spelling of 5641333434 in words is "five billion, six hundred forty-one million, three hundred thirty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 131 171 198 209 262 342 393 418 627 786 1179 1254 1441 1881 2358 2489 2882 3762 4323 4978 7467 8646 11447 12969 14934 22401 22894 25938 27379 34341 44802 54758 68682 82137 103023 125917 164274 206046 217493 246411 251834 377751 434986 492822 652479 755502 1133253 1304958 1499557 1957437 2266506 2392423 2999114 3914874 4498671 4784846 7177269 8997342 13496013 14354538 16495127 21531807 26992026 28491583 32990254 43063614 49485381 56983166 85474749 98970762 148456143 170949498 256424247 296912286 313407413 512848494 626814826 940222239 1880444478 2820666717 5641333434