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42721612724 = 2271740187683
BaseRepresentation
bin100111110010011010…
…000001001110110100
311002021100020210021202
4213302122001032310
51144443213101344
631343120232032
73041452500530
oct476232011664
9132240223252
1042721612724
1117133266a5a
12834346b618
13404ab954ab
1420d3c28bc0
1511a08da94e
hex9f26813b4

42721612724 has 24 divisors (see below), whose sum is σ = 85449110208. Its totient is φ = 18308001600.

The previous prime is 42721612723. The next prime is 42721612753.

42721612724 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721612723) by changing a digit.

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, 443387 + ... + 531069.

It is an arithmetic number, because the mean of its divisors is an integer number (3560379592).

Almost surely, 242721612724 is an apocalyptic number.

It is an amenable number.

42721612724 is an abundant number, since it is smaller than the sum of its proper divisors (42727497484).

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

42721612724 is a wasteful number, since it uses less digits than its factorization.

42721612724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105095 (or 105093 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The spelling of 42721612724 in words is "forty-two billion, seven hundred twenty-one million, six hundred twelve thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 17401 34802 69604 87683 121807 175366 243614 350732 487228 613781 1227562 2455124 1525771883 3051543766 6103087532 10680403181 21360806362 42721612724