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350036667420 = 2235112236593181
BaseRepresentation
bin1010001011111111100…
…11111010110000011100
31020110111122202002121120
411011333303322300130
521213333341324140
6424445444330540
734201143403236
oct5057763726034
91213448662546
10350036667420
111254a4634100
1257a0a6a3a50
132701536931b
1412d28699256
15918a3981d0
hex517fcfac1c

350036667420 has 288 divisors, whose sum is σ = 1126201950720. Its totient is φ = 81019276800.

The previous prime is 350036667391. The next prime is 350036667439. The reversal of 350036667420 is 24766630053.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 110038230 + ... + 110041410.

It is an arithmetic number, because the mean of its divisors is an integer number (3910423440).

Almost surely, 2350036667420 is an apocalyptic number.

350036667420 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 350036667420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563100975360).

350036667420 is an abundant number, since it is smaller than the sum of its proper divisors (776165283300).

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

350036667420 is a wasteful number, since it uses less digits than its factorization.

350036667420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 350036667420 in words is "three hundred fifty billion, thirty-six million, six hundred sixty-seven thousand, four hundred twenty".