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442243378676 = 22113375342359
BaseRepresentation
bin1100110111101111100…
…00100110110111110100
31120021111200221100111102
412123313300212313310
524221203301104201
6535055214225232
743644126460301
oct6336760466764
91507450840442
10442243378676
11160610949000
12718624b5218
133291b3cc8b8
14175946a00a8
15b78531a26b
hex66f7c26df4

442243378676 has 96 divisors (see below), whose sum is σ = 890784034560. Its totient is φ = 191891905920.

The previous prime is 442243378541. The next prime is 442243378679. The reversal of 442243378676 is 676873342244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442243378679) 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, 10419185 + ... + 10461543.

It is an arithmetic number, because the mean of its divisors is an integer number (9279000360).

Almost surely, 2442243378676 is an apocalyptic number.

It is an amenable number.

442243378676 is an abundant number, since it is smaller than the sum of its proper divisors (448540655884).

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

442243378676 is a wasteful number, since it uses less digits than its factorization.

442243378676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42486 (or 42462 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 56.

The spelling of 442243378676 in words is "four hundred forty-two billion, two hundred forty-three million, three hundred seventy-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 11 22 37 44 53 74 106 121 148 212 242 407 484 583 814 1166 1331 1628 1961 2332 2662 3922 4477 5324 6413 7844 8954 12826 17908 21571 25652 42359 43142 49247 70543 84718 86284 98494 141086 169436 196988 237281 282172 465949 474562 931898 949124 1567283 1863796 2245027 2610091 3134566 4490054 5125439 5220182 6269132 8980108 10250878 10440364 17240113 20501756 24695297 34480226 49390594 56379829 68960452 83065999 98781188 112759658 166131998 189641243 225519316 271648267 332263996 379282486 543296534 758564972 913725989 1086593068 1827451978 2086053673 2988130937 3654903956 4172107346 5976261874 8344214692 10050985879 11952523748 20101971758 40203943516 110560844669 221121689338 442243378676