Search a number
-
+
379593996544 = 287255012
BaseRepresentation
bin1011000011000011001…
…00001011100100000000
31100021210120001222201001
411201201210023210000
522204402030342134
6450214424421344
736265456506400
oct5414144134400
91307716058631
10379593996544
11136a91a07a34
1261699317854
1329a45acc699
141452ddd2800
159d1a1d0414
hex586190b900

379593996544 has 81 divisors (see below), whose sum is σ = 881572432881. Its totient is φ = 162653568000.

The previous prime is 379593996533. The next prime is 379593996547. The reversal of 379593996544 is 445699395973.

The square root of 379593996544 is 616112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 372724902144 + 6869094400 = 610512^2 + 82880^2 .

It is not an unprimeable number, because it can be changed into a prime (379593996547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69001794 + ... + 69007294.

Almost surely, 2379593996544 is an apocalyptic number.

379593996544 is the 616112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379593996544

379593996544 is an abundant number, since it is smaller than the sum of its proper divisors (501978436337).

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

379593996544 is an frugal number, since it uses more digits than its factorization.

379593996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11032 (or 5510 counting only the distinct ones).

The product of its digits is 992023200, while the sum is 73.

The spelling of 379593996544 in words is "three hundred seventy-nine billion, five hundred ninety-three million, nine hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 5501 6272 11002 12544 22004 38507 44008 77014 88016 154028 176032 269549 308056 352064 539098 616112 704128 1078196 1232224 1408256 2156392 2464448 4312784 4928896 8625568 9857792 17251136 30261001 34502272 60522002 69004544 121044004 211827007 242088008 423654014 484176016 847308028 968352032 1482789049 1694616056 1936704064 2965578098 3389232112 3873408128 5931156196 6778464224 7746816256 11862312392 13556928448 23724624784 27113856896 47449249568 54227713792 94898499136 189796998272 379593996544