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42782028724 = 2273647226451
BaseRepresentation
bin100111110110000000…
…011111001110110100
311002102112221020110101
4213312000133032310
51200104144404344
631353115203444
73043115146501
oct476600371664
9132375836411
1042782028724
1117164381436
12835b746584
13405a5598c6
1420dbc744a8
1511a5d719d4
hex9f601f3b4

42782028724 has 24 divisors (see below), whose sum is σ = 76011784128. Its totient is φ = 21065284800.

The previous prime is 42782028697. The next prime is 42782028727.

42782028724 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×427820287243 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42782028727) 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 7 ways as a sum of consecutive naturals, for example, 75699 + ... + 302149.

It is an arithmetic number, because the mean of its divisors is an integer number (3167157672).

Almost surely, 242782028724 is an apocalyptic number.

It is an amenable number.

42782028724 is a deficient number, since it is larger than the sum of its proper divisors (33229755404).

42782028724 is a wasteful number, since it uses less digits than its factorization.

42782028724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227175 (or 227173 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 42782028724 in words is "forty-two billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 73 146 292 647 1294 2588 47231 94462 188924 226451 452902 905804 16530923 33061846 66123692 146513797 293027594 586055188 10695507181 21391014362 42782028724