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9070442103936 = 2731271543120539
BaseRepresentation
bin1000001111111110000001…
…1110101100010010000000
31012010010101201001110210210
42003333200132230102000
52142102231134311221
631142523101154120
71624214003526543
oct203774036542200
935103351043723
109070442103936
112987831113454
121025ab485b940
1350a453a9acb5
1423502430285a
1510ae22a1b276
hex83fe07ac480

9070442103936 has 128 divisors (see below), whose sum is σ = 24299012505600. Its totient is φ = 2997704844288.

The previous prime is 9070442103913. The next prime is 9070442103959. The reversal of 9070442103936 is 6393012440709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9070442103913) and next prime (9070442103959).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 75188755 + ... + 75309293.

It is an arithmetic number, because the mean of its divisors is an integer number (189836035200).

Almost surely, 29070442103936 is an apocalyptic number.

9070442103936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9070442103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149506252800).

9070442103936 is an abundant number, since it is smaller than the sum of its proper divisors (15228570401664).

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

9070442103936 is a wasteful number, since it uses less digits than its factorization.

9070442103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122226 (or 122214 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 9070442103936 in words is "nine trillion, seventy billion, four hundred forty-two million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 1543 2032 3048 3086 4064 4629 6096 6172 8128 9258 12192 12344 16256 18516 24384 24688 37032 48768 49376 74064 98752 120539 148128 195961 197504 241078 296256 361617 391922 482156 587883 592512 723234 783844 964312 1175766 1446468 1567688 1928624 2351532 2892936 3135376 3857248 4703064 5785872 6270752 7714496 9406128 11571744 12541504 15308453 15428992 18812256 23143488 25083008 30616906 37624512 45925359 46286976 61233812 75249024 91850718 122467624 183701436 185991677 244935248 367402872 371983354 489870496 557975031 734805744 743966708 979740992 1115950062 1469611488 1487933416 1959481984 2231900124 2939222976 2975866832 4463800248 5878445952 5951733664 8927600496 11903467328 17855200992 23620942979 23806934656 35710401984 47241885958 70862828937 71420803968 94483771916 141725657874 188967543832 283451315748 377935087664 566902631496 755870175328 1133805262992 1511740350656 2267610525984 3023480701312 4535221051968 9070442103936