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434874008827 = 1673631971699
BaseRepresentation
bin1100101010000001000…
…00101100010011111011
31112120111010011120112101
412111000200230103323
524111110221240302
6531440043124231
743263404041066
oct6250040542373
91476433146471
10434874008827
1115847a04a3a5
1270346513677
133201571b11b
1417095a738dd
15b4a338d287
hex654082c4fb

434874008827 has 8 divisors (see below), whose sum is σ = 437496192000. Its totient is φ = 432252042024.

The previous prime is 434874008801. The next prime is 434874008839. The reversal of 434874008827 is 728800478434.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 434874008827 - 215 = 434873976059 is a prime.

It is a super-4 number, since 4×4348740088274 (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434874003827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6029424 + ... + 6101122.

It is an arithmetic number, because the mean of its divisors is an integer number (54687024000).

Almost surely, 2434874008827 is an apocalyptic number.

434874008827 is a deficient number, since it is larger than the sum of its proper divisors (2622183173).

434874008827 is a wasteful number, since it uses less digits than its factorization.

434874008827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108185.

The product of its (nonzero) digits is 9633792, while the sum is 55.

The spelling of 434874008827 in words is "four hundred thirty-four billion, eight hundred seventy-four million, eight thousand, eight hundred twenty-seven".

Divisors: 1 167 36319 71699 6065273 11973733 2604035981 434874008827