Search a number
-
+
643632433405506 = 23323815005929919
BaseRepresentation
bin1001001001011000010101101…
…0100011110001111001000010
310010101220122210221010020011000
42102112011122203301321002
51133330233210422434011
610200520354043032430
7252366623464662456
oct22226053243617102
93111818727106130
10643632433405506
11177098a89215946
126023033b80b716
132181a37cb0a58c
14b4d1d941a6666
154e62553a49356
hex249615a8f1e42

643632433405506 has 32 divisors (see below), whose sum is σ = 1430895008332800. Its totient is φ = 214454037687120.

The previous prime is 643632433405463. The next prime is 643632433405519. The reversal of 643632433405506 is 605504334236346.

643632433405506 is a `hidden beast` number, since 6 + 4 + 3 + 6 + 3 + 2 + 43 + 3 + 40 + 550 + 6 = 666.

It is a super-2 number, since 2×6436324334055062 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2502836386 + ... + 2503093533.

It is an arithmetic number, because the mean of its divisors is an integer number (44715469010400).

Almost surely, 2643632433405506 is an apocalyptic number.

643632433405506 is an abundant number, since it is smaller than the sum of its proper divisors (787262574927294).

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

643632433405506 is a wasteful number, since it uses less digits than its factorization.

643632433405506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005932311 (or 5005932305 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 54.

The spelling of 643632433405506 in words is "six hundred forty-three trillion, six hundred thirty-two billion, four hundred thirty-three million, four hundred five thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 2381 4762 7143 14286 21429 42858 64287 128574 5005929919 10011859838 15017789757 30035579514 45053369271 90106738542 135160107813 270320215626 11919119137139 23838238274278 35757357411417 71514714822834 107272072234251 214544144468502 321816216702753 643632433405506