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3361238052480 = 273557112171979
BaseRepresentation
bin110000111010011001011…
…001100110111010000000
3102220022221110101200200000
4300322121121212322000
5420032303420134410
611052044220400000
7464561420016540
oct60723131467200
912808843350600
103361238052480
111086547287200
1246351b9a6000
131b4c6a744409
14b89830c5320
155c6781aadc0
hex30e99666e80

3361238052480 has 4608 divisors, whose sum is σ = 17065810944000. Its totient is φ = 614873825280.

The previous prime is 3361238052457. The next prime is 3361238052503. The reversal of 3361238052480 is 842508321633.

3361238052480 is a `hidden beast` number, since 3 + 3 + 6 + 12 + 38 + 0 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3361238052457) and next prime (3361238052503).

It is a super-2 number, since 2×33612380524802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 575 ways as a sum of consecutive naturals, for example, 42547317081 + ... + 42547317159.

It is an arithmetic number, because the mean of its divisors is an integer number (3703518000).

Almost surely, 23361238052480 is an apocalyptic number.

3361238052480 is a gapful number since it is divisible by the number (30) 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 3361238052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532905472000).

3361238052480 is an abundant number, since it is smaller than the sum of its proper divisors (13704572891520).

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

3361238052480 is a wasteful number, since it uses less digits than its factorization.

3361238052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3361238052480 in words is "three trillion, three hundred sixty-one billion, two hundred thirty-eight million, fifty-two thousand, four hundred eighty".