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4442521305516 = 223782963796331
BaseRepresentation
bin100000010100101101011…
…1001111000000110101100
3120201200220221121012101020
41000221122321320012230
51040241240423234031
613240511025214140
7635650551020640
oct100513271700654
916650827535336
104442521305516
111463076508178
125b8ba7491350
13262c0a968188
1411503a8a8c20
157a8608c4096
hex40a5ae781ac

4442521305516 has 48 divisors (see below), whose sum is σ = 11861014045440. Its totient is φ = 1267760669760.

The previous prime is 4442521305449. The next prime is 4442521305517. The reversal of 4442521305516 is 6155031252444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4442521305517) 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 15 ways as a sum of consecutive naturals, for example, 31828530 + ... + 31967801.

It is an arithmetic number, because the mean of its divisors is an integer number (247104459280).

Almost surely, 24442521305516 is an apocalyptic number.

It is an amenable number.

4442521305516 is an abundant number, since it is smaller than the sum of its proper divisors (7418492739924).

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

4442521305516 is a wasteful number, since it uses less digits than its factorization.

4442521305516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63797174 (or 63797172 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 4442521305516 in words is "four trillion, four hundred forty-two billion, five hundred twenty-one million, three hundred five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 829 1658 2487 3316 4974 5803 9948 11606 17409 23212 34818 69636 63796331 127592662 191388993 255185324 382777986 446574317 765555972 893148634 1339722951 1786297268 2679445902 5358891804 52887158399 105774316798 158661475197 211548633596 317322950394 370210108793 634645900788 740420217586 1110630326379 1480840435172 2221260652758 4442521305516