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119970104544768 = 2931941593169079
BaseRepresentation
bin11011010001110010110111…
…011101110000111000000000
3120201210000210212012120000210
4123101302313131300320000
5111211042233230413033
61103053301041314120
734161361013046432
oct3321626735607000
9521700725176023
10119970104544768
1135254043446215
1211557015335940
1351c3194909baa
14218a82687a652
15dd0a6ecccd63
hex6d1cb7770e00

119970104544768 has 320 divisors, whose sum is σ = 345218129625600. Its totient is φ = 36898717040640.

The previous prime is 119970104544761. The next prime is 119970104544817. The reversal of 119970104544768 is 867445401079911.

It is a junction number, because it is equal to n+sod(n) for n = 119970104544699 and 119970104544708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119970104544761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709466053 + ... + 709635131.

It is an arithmetic number, because the mean of its divisors is an integer number (1078806655080).

Almost surely, 2119970104544768 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 119970104544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172609064812800).

119970104544768 is an abundant number, since it is smaller than the sum of its proper divisors (225248025080832).

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

119970104544768 is a wasteful number, since it uses less digits than its factorization.

119970104544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169753 (or 169737 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 119970104544768 in words is "one hundred nineteen trillion, nine hundred seventy billion, one hundred four million, five hundred forty-four thousand, seven hundred sixty-eight".