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442826468351608 = 2311192122712476957
BaseRepresentation
bin110010010101111111001001…
…0010101111101111001111000
32011001220210111222001021221211
41210223332102111331321320
5431020232101344222413
64205451400545212504
7162163104461413135
oct14453762225757170
92131823458037854
10442826468351608
11119109717a165a0
12417ba8a0331134
1316012483b20653
147b4ccb5d0758c
15362ddecb8483d
hex192bf9257de78

442826468351608 has 64 divisors (see below), whose sum is σ = 953499111926400. Its totient is φ = 190681825000320.

The previous prime is 442826468351599. The next prime is 442826468351621. The reversal of 442826468351608 is 806153864628244.

It is a happy number.

It is a super-3 number, since 3×4428264683516083 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29253066 + ... + 41730022.

It is an arithmetic number, because the mean of its divisors is an integer number (14898423623850).

Almost surely, 2442826468351608 is an apocalyptic number.

It is an amenable number.

442826468351608 is an abundant number, since it is smaller than the sum of its proper divisors (510672643574792).

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

442826468351608 is a wasteful number, since it uses less digits than its factorization.

442826468351608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498220 (or 12498216 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 67.

The spelling of 442826468351608 in words is "four hundred forty-two trillion, eight hundred twenty-six billion, four hundred sixty-eight million, three hundred fifty-one thousand, six hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 21227 42454 84908 169816 233497 403313 466994 806626 933988 1613252 1867976 3226504 4436443 8872886 12476957 17745772 24953914 35491544 49907828 99815656 137246527 237062183 274493054 474124366 548986108 948248732 1097972216 1896497464 2607684013 5215368026 10430736052 20861472104 264848366239 529696732478 1059393464956 2118786929912 2913332028629 5032118958541 5826664057258 10064237917082 11653328114516 20128475834164 23306656229032 40256951668328 55353308543951 110706617087902 221413234175804 442826468351608