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42779976719 = 2931375572309
BaseRepresentation
bin100111110101111000…
…101010010000001111
311002102102001222122012
4213311320222100033
51200103133223334
631353003211435
73043061542124
oct476570522017
9132372058565
1042779976719
11171631aa767
12835ab16b7b
134059cbb8bc
1420db89c74b
1511a5ab89ce
hex9f5e2a40f

42779976719 has 32 divisors (see below), whose sum is σ = 47021990400. Its totient is φ = 38805419520.

The previous prime is 42779976713. The next prime is 42779976721. The reversal of 42779976719 is 91767997724.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42779976719 - 24 = 42779976703 is a prime.

It is a super-2 number, since 2×427799767192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779976713) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18526337 + ... + 18528645.

It is an arithmetic number, because the mean of its divisors is an integer number (1469437200).

Almost surely, 242779976719 is an apocalyptic number.

42779976719 is a deficient number, since it is larger than the sum of its proper divisors (4242013681).

42779976719 is a wasteful number, since it uses less digits than its factorization.

42779976719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963.

The product of its digits is 84015792, while the sum is 68.

The spelling of 42779976719 in words is "forty-two billion, seven hundred seventy-nine million, nine hundred seventy-six thousand, seven hundred nineteen".

Divisors: 1 29 31 37 557 899 1073 1147 2309 16153 17267 20609 33263 66961 71579 85433 500743 597661 638879 1286113 2075791 2477557 2648423 18527491 37297277 39869503 47586181 76804267 1156215587 1379999249 1475171611 42779976719