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109683217728 = 26327171600187
BaseRepresentation
bin110011000100110100…
…0010001010101000000
3101111010000022202210100
41212021220101111000
53244112400431403
6122215432002400
710632023652660
oct1461150212500
9344100282710
10109683217728
1142575353987
1219310830400
13a45c9a4486
1454470c21a0
152cbe3c12a3
hex1989a11540

109683217728 has 168 divisors, whose sum is σ = 380435095872. Its totient is φ = 29494628352.

The previous prime is 109683217691. The next prime is 109683217759. The reversal of 109683217728 is 827712386901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731550 + ... + 868637.

Almost surely, 2109683217728 is an apocalyptic number.

109683217728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109683217728 is an abundant number, since it is smaller than the sum of its proper divisors (270751878144).

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

109683217728 is a wasteful number, since it uses less digits than its factorization.

109683217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600229 (or 1600216 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 109683217728 in words is "one hundred nine billion, six hundred eighty-three million, two hundred seventeen thousand, seven hundred twenty-eight".