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13804778743168 = 277219315370507
BaseRepresentation
bin1100100011100010110011…
…1011101110010110000000
31210212201112202200120111211
43020320230323232112000
53302134141324240133
645205454450015504
72623235200141300
oct310705473562600
953781482616454
1013804778743168
11444263478aa06
12166b560577594
13791a289a5b6a
1435a224cd5600
1518e162277bcd
hexc8e2ceee580

13804778743168 has 384 divisors, whose sum is σ = 35418255436800. Its totient is φ = 5321725194240.

The previous prime is 13804778743087. The next prime is 13804778743219. The reversal of 13804778743168 is 86134787740831.

It is a super-2 number, since 2×138047787431682 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195757771 + ... + 195828277.

It is an arithmetic number, because the mean of its divisors is an integer number (92235040200).

Almost surely, 213804778743168 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 13804778743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17709127718400).

13804778743168 is an abundant number, since it is smaller than the sum of its proper divisors (21613476693632).

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

13804778743168 is a wasteful number, since it uses less digits than its factorization.

13804778743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70638 (or 70619 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 67.

The spelling of 13804778743168 in words is "thirteen trillion, eight hundred four billion, seven hundred seventy-eight million, seven hundred forty-three thousand, one hundred sixty-eight".