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109882277568 = 26347113127211
BaseRepresentation
bin110011001010101111…
…1100111111011000000
3101111121212220001120000
41212111133213323000
53300014330340233
6122251302320000
710636661643240
oct1462537477300
9344555801500
10109882277568
1142667754548
1219367429000
13a491cbc86b
1454656dbb20
152cd1ae1d13
hex19957e7ec0

109882277568 has 560 divisors, whose sum is σ = 380303007744. Its totient is φ = 30725775360.

The previous prime is 109882277563. The next prime is 109882277621. The reversal of 109882277568 is 865772288901.

It is a super-2 number, since 2×1098822775682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109882277563) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 520768983 + ... + 520769193.

Almost surely, 2109882277568 is an apocalyptic number.

109882277568 is a gapful number since it is divisible by the number (18) 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 109882277568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190151503872).

109882277568 is an abundant number, since it is smaller than the sum of its proper divisors (270420730176).

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

109882277568 is a wasteful number, since it uses less digits than its factorization.

109882277568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 109882277568 in words is "one hundred nine billion, eight hundred eighty-two million, two hundred seventy-seven thousand, five hundred sixty-eight".