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247120213840 = 2453089002673
BaseRepresentation
bin1110011000100110000…
…0110011011101010000
3212121212020021120011121
43212021200303131100
513022100233320330
6305305255452024
723565604105513
oct3461140633520
9777766246147
10247120213840
1195891a11295
123ba88087014
131a3c3577a06
14bd6417cd7a
1566650be17a
hex3989833750

247120213840 has 20 divisors (see below), whose sum is σ = 574554497364. Its totient is φ = 98848085504.

The previous prime is 247120213799. The next prime is 247120213841. The reversal of 247120213840 is 48312021742.

It can be written as a sum of positive squares in 2 ways, for example, as 48510943504 + 198609270336 = 220252^2 + 445656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2471202138402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247120213796 and 247120213805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247120213841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1544501257 + ... + 1544501416.

Almost surely, 2247120213840 is an apocalyptic number.

247120213840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247120213840 is an abundant number, since it is smaller than the sum of its proper divisors (327434283524).

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

247120213840 is a wasteful number, since it uses less digits than its factorization.

247120213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089002686 (or 3089002680 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 247120213840 in words is "two hundred forty-seven billion, one hundred twenty million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3089002673 6178005346 12356010692 15445013365 24712021384 30890026730 49424042768 61780053460 123560106920 247120213840