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643142039404877 = 4189929622130497
BaseRepresentation
bin1001001000111011110010110…
…0110011001000000101001101
310010100011210000112021211202222
42102032330230303020011031
51133244214344041424002
610155503212445425125
7252316323200521145
oct22216745463100515
93110153015254688
10643142039404877
11176a1a009624a01
126017129b86b1a5
13217b3059b592cc
14b4b6352a63925
154e549013e81a2
hex248ef2ccc814d

643142039404877 has 32 divisors (see below), whose sum is σ = 667077227762400. Its totient is φ = 619617825587200.

The previous prime is 643142039404847. The next prime is 643142039404961. The reversal of 643142039404877 is 778404930241346.

It can be written as a sum of positive squares in 16 ways, for example, as 603409452587236 + 39732586817641 = 24564394^2 + 6303379^2 .

It is a cyclic number.

It is not a de Polignac number, because 643142039404877 - 228 = 643141770969421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643142039404847) 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, 21088683293 + ... + 21088713789.

It is an arithmetic number, because the mean of its divisors is an integer number (20846163367575).

Almost surely, 2643142039404877 is an apocalyptic number.

It is an amenable number.

643142039404877 is a deficient number, since it is larger than the sum of its proper divisors (23935188357523).

643142039404877 is a wasteful number, since it uses less digits than its factorization.

643142039404877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37777.

The product of its (nonzero) digits is 97542144, while the sum is 62.

The spelling of 643142039404877 in words is "six hundred forty-three trillion, one hundred forty-two billion, thirty-nine million, four hundred four thousand, eight hundred seventy-seven".

Divisors: 1 41 89 929 3649 6221 30497 38089 82681 255061 553669 1250377 2714233 3389921 5779309 22700429 28331713 111283553 189721837 236951669 514358501 1161600233 2521522457 7778595317 16885243493 21088698541 103382420737 176251586573 692294983213 7226315049493 15686391204997 643142039404877