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434004066667 = 231011511237279
BaseRepresentation
bin1100101000011001010…
…10001000000101101011
31112111020111012221020101
412110030222020011223
524102320020113132
6531213445210231
743233011461423
oct6241452100553
91474214187211
10434004066667
11158072a87a36
1270143100977
1331c07419b52
14170122dd483
15b451cec7e7
hex650ca8816b

434004066667 has 16 divisors (see below), whose sum is σ = 460386938880. Its totient is φ = 408301740000.

The previous prime is 434004066637. The next prime is 434004066701. The reversal of 434004066667 is 766660400434.

It is a cyclic number.

It is not a de Polignac number, because 434004066667 - 211 = 434004064619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434004066637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267867 + ... + 969412.

It is an arithmetic number, because the mean of its divisors is an integer number (28774183680).

Almost surely, 2434004066667 is an apocalyptic number.

434004066667 is a deficient number, since it is larger than the sum of its proper divisors (26382872213).

434004066667 is a wasteful number, since it uses less digits than its factorization.

434004066667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237554.

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 434004066667 in words is "four hundred thirty-four billion, four million, sixty-six thousand, six hundred sixty-seven".

Divisors: 1 23 101 151 2323 3473 15251 350773 1237279 28457417 124965179 186829129 2874199117 4297069967 18869742029 434004066667