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1667389056 = 2734619419
BaseRepresentation
bin110001101100010…
…0101011010000000
311022012111010210020
41203120211122000
511403322422211
6433241533440
756214400404
oct14330453200
94265433706
101667389056
1178621a093
123a64a4280
1320759c058
1411b637104
159b5b1306
hex63625680

1667389056 has 64 divisors (see below), whose sum is σ = 4439080800. Its totient is φ = 554531840.

The previous prime is 1667389037. The next prime is 1667389057. The reversal of 1667389056 is 6509837661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×16673890562 = 5560372528137142272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1667389057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172315 + ... + 181733.

Almost surely, 21667389056 is an apocalyptic number.

1667389056 is a gapful number since it is divisible by the number (16) 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 1667389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219540400).

1667389056 is an abundant number, since it is smaller than the sum of its proper divisors (2771691744).

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

1667389056 is an equidigital number, since it uses as much as digits as its factorization.

1667389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 1667389056 is about 40833.6755142125. The cubic root of 1667389056 is about 1185.8023742062.

The spelling of 1667389056 in words is "one billion, six hundred sixty-seven million, three hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 461 922 1383 1844 2766 3688 5532 7376 9419 11064 14752 18838 22128 28257 29504 37676 44256 56514 59008 75352 88512 113028 150704 177024 226056 301408 452112 602816 904224 1205632 1808448 3616896 4342159 8684318 13026477 17368636 26052954 34737272 52105908 69474544 104211816 138949088 208423632 277898176 416847264 555796352 833694528 1667389056