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442553450020 = 2251125722373499
BaseRepresentation
bin1100111000010100011…
…11011011111000100100
31120022022022101121102021
412130022033123320210
524222322140400040
6535150052152524
743654613154343
oct6341217337044
91508268347367
10442553450020
1116075a981210
127192a308744
133296a715876
14175c3935b5a
15b7a266824a
hex670a3dbe24

442553450020 has 96 divisors (see below), whose sum is σ = 1018540656000. Its totient is φ = 160184893440.

The previous prime is 442553449999. The next prime is 442553450021. The reversal of 442553450020 is 20054355244.

It is a super-2 number, since 2×4425534500202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442553450021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126478231 + ... + 126481729.

It is an arithmetic number, because the mean of its divisors is an integer number (10609798500).

Almost surely, 2442553450020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442553450020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509270328000).

442553450020 is an abundant number, since it is smaller than the sum of its proper divisors (575987205980).

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

442553450020 is a wasteful number, since it uses less digits than its factorization.

442553450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 442553450020 in words is "four hundred forty-two billion, five hundred fifty-three million, four hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2237 2570 2827 3499 4474 5140 5654 6998 8948 11185 11308 13996 14135 17495 22370 24607 28270 34990 38489 44740 49214 56540 69980 76978 98428 123035 153956 192445 246070 384890 492140 574909 769780 899243 1149818 1798486 2299636 2874545 3596972 4496215 5749090 6323999 7827263 8992430 9891673 11498180 12647998 15654526 17984860 19783346 25295996 31309052 31619995 39136315 39566692 49458365 63239990 78272630 86099893 98916730 126479980 156545260 172199786 197833460 344399572 430499465 860998930 1721997860 2011606591 4023213182 8046426364 10058032955 20116065910 22127672501 40232131820 44255345002 88510690004 110638362505 221276725010 442553450020