Search a number
-
+
643140262331 = 76726313993727
BaseRepresentation
bin10010101101111100010…
…01011001100110111011
32021111001112212110001222
421112332021121212323
541014122401343311
61211242103502255
764315421013410
oct11267611314673
92244045773058
10643140262331
11228832a03166
12a478a45798b
1348856493b58
14231b192a107
1511ae23a2adb
hex95be2599bb

643140262331 has 32 divisors (see below), whose sum is σ = 749560627200. Its totient is φ = 540438772896.

The previous prime is 643140262321. The next prime is 643140262333. The reversal of 643140262331 is 133262041346.

It is a cyclic number.

It is not a de Polignac number, because 643140262331 - 210 = 643140261307 is a prime.

It is a super-2 number, since 2×6431402623312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643140262291 and 643140262300.

It is not an unprimeable number, because it can be changed into a prime (643140262333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172560590 + ... + 172564316.

It is an arithmetic number, because the mean of its divisors is an integer number (23423769600).

Almost surely, 2643140262331 is an apocalyptic number.

643140262331 is a deficient number, since it is larger than the sum of its proper divisors (106420364869).

643140262331 is a wasteful number, since it uses less digits than its factorization.

643140262331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 643140262331 in words is "six hundred forty-three billion, one hundred forty million, two hundred sixty-two thousand, three hundred thirty-one".

Divisors: 1 7 67 263 469 1399 1841 3727 9793 17621 26089 93733 123347 249709 367937 656131 980201 1747963 2575559 5214073 6861407 24651779 36498511 65673467 172562453 349342891 459714269 1371301199 2445400237 9599108393 91877180333 643140262331