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1729069056 = 21532111341
BaseRepresentation
bin110011100001111…
…1000000000000000
311110111112210211200
41213003320000000
512020120202211
6443323541200
760563562441
oct14703700000
94414483750
101729069056
118080181a0
1240308a800
132172b68b0
141258d12c8
15a1be6b56
hex670f8000

1729069056 has 384 divisors, whose sum is σ = 6011394480. Its totient is φ = 471859200.

The previous prime is 1729069019. The next prime is 1729069061. The reversal of 1729069056 is 6509609271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×17290690562 = 5979359600833462272, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42172396 + ... + 42172436.

Almost surely, 21729069056 is an apocalyptic number.

1729069056 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 1729069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005697240).

1729069056 is an abundant number, since it is smaller than the sum of its proper divisors (4282325424).

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

1729069056 is a wasteful number, since it uses less digits than its factorization.

1729069056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1729069056 is about 41582.0761386442. The cubic root of 1729069056 is about 1200.2474156511.

The spelling of 1729069056 in words is "one billion, seven hundred twenty-nine million, sixty-nine thousand, fifty-six".