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442566665244 = 223311372530863
BaseRepresentation
bin1100111000010110000…
…01110110010000011100
31120022100020021000022000
412130023001312100130
524222334031241434
6535151243322300
743655133404604
oct6341301662034
91508306230260
10442566665244
11160767387a90
1271932820390
1332970391a22
14175c55b5c04
15b7a38c8b99
hex670b07641c

442566665244 has 48 divisors (see below), whose sum is σ = 1251703703040. Its totient is φ = 134111110320.

The previous prime is 442566665243. The next prime is 442566665347.

442566665244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442566665243) 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 15 ways as a sum of consecutive naturals, for example, 186264244 + ... + 186266619.

It is an arithmetic number, because the mean of its divisors is an integer number (26077160480).

Almost surely, 2442566665244 is an apocalyptic number.

442566665244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442566665244 is an abundant number, since it is smaller than the sum of its proper divisors (809137037796).

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

442566665244 is a wasteful number, since it uses less digits than its factorization.

442566665244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372530887 (or 372530879 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 442566665244 in words is "four hundred forty-two billion, five hundred sixty-six million, six hundred sixty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 372530863 745061726 1117592589 1490123452 2235185178 3352777767 4097839493 4470370356 6705555534 8195678986 10058333301 12293518479 13411111068 16391357972 20116666602 24587036958 36880555437 40233333204 49174073916 73761110874 110641666311 147522221748 221283332622 442566665244