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605005010016 = 25311572921411
BaseRepresentation
bin10001100110111010001…
…10111101010001100000
32010211121211122220111120
420303131012331101200
534403022240310031
61141534021012240
761465405506651
oct10633506752140
92124554586446
10605005010016
11213643612710
1299306b54080
13450898515b4
14213d4c8b528
1510b0e463a96
hex8cdd1bd460

605005010016 has 48 divisors (see below), whose sum is σ = 1732514349888. Its totient is φ = 183334851200.

The previous prime is 605005009943. The next prime is 605005010021. The reversal of 605005010016 is 610010500506.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 286459650 + ... + 286461761.

It is an arithmetic number, because the mean of its divisors is an integer number (36094048956).

Almost surely, 2605005010016 is an apocalyptic number.

605005010016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

605005010016 is an abundant number, since it is smaller than the sum of its proper divisors (1127509339872).

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

605005010016 is a wasteful number, since it uses less digits than its factorization.

605005010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572921435 (or 572921427 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 605005010016 in words is "six hundred five billion, five million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 572921411 1145842822 1718764233 2291685644 3437528466 4583371288 6302135521 6875056932 9166742576 12604271042 13750113864 18333485152 18906406563 25208542084 27500227728 37812813126 50417084168 55000455456 75625626252 100834168336 151251252504 201668336672 302502505008 605005010016