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42688888624 = 248011333049
BaseRepresentation
bin100111110000011101…
…001011111100110000
311002012001200020021001
4213300131023330300
51144411323413444
631335551011344
73040604365144
oct476035137460
9132161606231
1042688888624
1117116845948
128334509b54
134044178615
1420cd74b224
15119cac48d4
hex9f074bf30

42688888624 has 20 divisors (see below), whose sum is σ = 82720294600. Its totient is φ = 21341715840.

The previous prime is 42688888621. The next prime is 42688888633.

42688888624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×426888886243 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42688888621) 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 3 ways as a sum of consecutive naturals, for example, 38349 + ... + 294700.

It is an arithmetic number, because the mean of its divisors is an integer number (4136014730).

Almost surely, 242688888624 is an apocalyptic number.

It is an amenable number.

42688888624 is a deficient number, since it is larger than the sum of its proper divisors (40031405976).

42688888624 is a wasteful number, since it uses less digits than its factorization.

42688888624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341068 (or 341062 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 64.

The spelling of 42688888624 in words is "forty-two billion, six hundred eighty-eight million, eight hundred eighty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 8011 16022 32044 64088 128176 333049 666098 1332196 2664392 5328784 2668055539 5336111078 10672222156 21344444312 42688888624