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42813082305 = 335745304849
BaseRepresentation
bin100111110111110110…
…111100101011000001
311002111201100220222000
4213313312330223001
51200140122113210
631400144534213
73043643123640
oct476766745301
9132451326860
1042813082305
111717a961454
12836a021369
134063b102c6
142102039357
1511a8957ac0
hex9f7dbcac1

42813082305 has 32 divisors (see below), whose sum is σ = 86985312000. Its totient is φ = 19571694336.

The previous prime is 42813082297. The next prime is 42813082309. The reversal of 42813082305 is 50328031824.

42813082305 is a `hidden beast` number, since 42 + 8 + 1 + 308 + 2 + 305 = 666.

It is not a de Polignac number, because 42813082305 - 23 = 42813082297 is a prime.

It is a super-2 number, since 2×428130823052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42813082305.

It is not an unprimeable number, because it can be changed into a prime (42813082309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22651480 + ... + 22653369.

It is an arithmetic number, because the mean of its divisors is an integer number (2718291000).

Almost surely, 242813082305 is an apocalyptic number.

42813082305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42813082305 is an abundant number, since it is smaller than the sum of its proper divisors (44172229695).

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

42813082305 is a wasteful number, since it uses less digits than its factorization.

42813082305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45304870 (or 45304864 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 42813082305 in words is "forty-two billion, eight hundred thirteen million, eighty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 45304849 135914547 226524245 317133943 407743641 679572735 951401829 1223230923 1585669715 2038718205 2854205487 4757009145 6116154615 8562616461 14271027435 42813082305