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434557364712 = 233191123848599
BaseRepresentation
bin1100101001011011010…
…00110010100111101000
31112112200001100101110120
412110231220302213220
524104433141132322
6531344412243240
743252510440312
oct6245550624750
91475601311416
10434557364712
11158327337a49
1270278470520
1331c94c43543
14170659aa7b2
15b485692a5c
hex652da329e8

434557364712 has 64 divisors (see below), whose sum is σ = 1144591680000. Its totient is φ = 137106281664.

The previous prime is 434557364711. The next prime is 434557364729. The reversal of 434557364712 is 217463755434.

It is not an unprimeable number, because it can be changed into a prime (434557364711) 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 15 ways as a sum of consecutive naturals, for example, 87789 + ... + 936387.

It is an arithmetic number, because the mean of its divisors is an integer number (17884245000).

Almost surely, 2434557364712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434557364712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572295840000).

434557364712 is an abundant number, since it is smaller than the sum of its proper divisors (710034315288).

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

434557364712 is a wasteful number, since it uses less digits than its factorization.

434557364712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849750 (or 849746 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 51.

The spelling of 434557364712 in words is "four hundred thirty-four billion, five hundred fifty-seven million, three hundred sixty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1123 2246 3369 4492 6738 8984 13476 21337 26952 42674 64011 85348 128022 170696 256044 512088 848599 1697198 2545797 3394396 5091594 6788792 10183188 16123381 20366376 32246762 48370143 64493524 96740286 128987048 193480572 386961144 952976677 1905953354 2858930031 3811906708 5717860062 7623813416 11435720124 18106556863 22871440248 36213113726 54319670589 72426227452 108639341178 144852454904 217278682356 434557364712