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434871634912 = 25111395033137
BaseRepresentation
bin1100101010000000101…
…11101000101111100000
31112120110221200222010121
412111000113220233200
524111104114304122
6531435520210024
743263344623051
oct6250027505740
91476427628117
10434871634912
11158478778890
1270345769914
1332015099740
1417095616728
15b4a306ebc7
hex65405e8be0

434871634912 has 48 divisors (see below), whose sum is σ = 1005830732592. Its totient is φ = 182463621120.

The previous prime is 434871634903. The next prime is 434871634933. The reversal of 434871634912 is 219436178434.

It is a happy number.

It is a super-2 number, since 2×4348716349122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 434871634912.

It is a congruent number.

It is an unprimeable number.

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, 47511993 + ... + 47521144.

It is an arithmetic number, because the mean of its divisors is an integer number (20954806929).

Almost surely, 2434871634912 is an apocalyptic number.

It is an amenable number.

434871634912 is an abundant number, since it is smaller than the sum of its proper divisors (570959097680).

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

434871634912 is a wasteful number, since it uses less digits than its factorization.

434871634912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95033171 (or 95033163 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 434871634912 in words is "four hundred thirty-four billion, eight hundred seventy-one million, six hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 95033137 190066274 380132548 760265096 1045364507 1235430781 1520530192 2090729014 2470861562 3041060384 4181458028 4941723124 8362916056 9883446248 13589738591 16725832112 19766892496 27179477182 33451664224 39533784992 54358954364 108717908728 217435817456 434871634912