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442168346364 = 2233153107209597
BaseRepresentation
bin1100110111100110100…
…10011000011011111100
31120021022110202022111220
412123303102120123330
524221030044040424
6535043534113340
743642225634223
oct6336322303374
91507273668456
10442168346364
11160582560128
127184134b850
13329089bb694
141758872bcba
15b77d948579
hex66f34986fc

442168346364 has 96 divisors (see below), whose sum is σ = 1095248480256. Its totient is φ = 138635178240.

The previous prime is 442168346317. The next prime is 442168346371. The reversal of 442168346364 is 463643861244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004814 + ... + 2214410.

It is an arithmetic number, because the mean of its divisors is an integer number (11408838336).

Almost surely, 2442168346364 is an apocalyptic number.

It is an amenable number.

442168346364 is an abundant number, since it is smaller than the sum of its proper divisors (653080133892).

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

442168346364 is a wasteful number, since it uses less digits than its factorization.

442168346364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209795 (or 209793 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 51.

The spelling of 442168346364 in words is "four hundred forty-two billion, one hundred sixty-eight million, three hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 31 53 62 93 106 107 124 159 186 212 214 318 321 372 428 636 642 1284 1643 3286 3317 4929 5671 6572 6634 9858 9951 11342 13268 17013 19716 19902 22684 34026 39804 68052 175801 209597 351602 419194 527403 628791 703204 838388 1054806 1257582 2109612 2515164 6497507 11108641 12995014 19492521 22217282 22426879 25990028 33325923 38985042 44434564 44853758 66651846 67280637 77970084 89707516 133303692 134561274 269122548 344367871 688735742 695233249 1033103613 1188624587 1377471484 1390466498 2066207226 2085699747 2377249174 2780932996 3565873761 4132414452 4171399494 4754498348 7131747522 8342798988 14263495044 36847362197 73694724394 110542086591 147389448788 221084173182 442168346364