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42829426521 = 3272831170107
BaseRepresentation
bin100111111000110101…
…010010111101011001
311002112212010022000100
4213320311102331121
51200203313122041
631401531130013
73044232055500
oct477065227531
9132485108010
1042829426521
1117189105072
1283735a3909
13406731373b
142104291837
1511aa0d56b6
hex9f8d52f59

42829426521 has 36 divisors (see below), whose sum is σ = 72832202352. Its totient is φ = 24179070384.

The previous prime is 42829426433. The next prime is 42829426579. The reversal of 42829426521 is 12562492824.

42829426521 is a `hidden beast` number, since 4 + 2 + 82 + 9 + 42 + 6 + 521 = 666.

It is not a de Polignac number, because 42829426521 - 214 = 42829410137 is a prime.

It is a super-2 number, since 2×428294265212 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42829426621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548451 + ... + 621656.

It is an arithmetic number, because the mean of its divisors is an integer number (2023116732).

Almost surely, 242829426521 is an apocalyptic number.

It is an amenable number.

42829426521 is a deficient number, since it is larger than the sum of its proper divisors (30002775831).

42829426521 is a wasteful number, since it uses less digits than its factorization.

42829426521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170210 (or 1170200 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 42829426521 in words is "forty-two billion, eight hundred twenty-nine million, four hundred twenty-six thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 83 147 249 441 581 747 1743 4067 5229 12201 36603 1170107 3510321 8190749 10530963 24572247 57335243 73716741 97118881 172005729 291356643 516017187 679832167 874069929 2039496501 4758825169 6118489503 14276475507 42829426521