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109414528080 = 2435111389113317
BaseRepresentation
bin110010111100110011…
…1010011010001010000
3101110102021201220212220
41211321213103101100
53243040104344310
6122133033021040
710622252100144
oct1457147232120
9343367656786
10109414528080
1142447715420
1219256854780
13a419119c10
14541d53d224
152ca59e9670
hex19799d3450

109414528080 has 640 divisors, whose sum is σ = 407808898560. Its totient is φ = 23919329280.

The previous prime is 109414528033. The next prime is 109414528151. The reversal of 109414528080 is 80825414901.

It is a super-3 number, since 3×1094145280803 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345156082 + ... + 345156398.

It is an arithmetic number, because the mean of its divisors is an integer number (637201404).

Almost surely, 2109414528080 is an apocalyptic number.

109414528080 is a gapful number since it is divisible by the number (10) 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 109414528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203904449280).

109414528080 is an abundant number, since it is smaller than the sum of its proper divisors (298394370480).

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

109414528080 is a wasteful number, since it uses less digits than its factorization.

109414528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 109414528080 in words is "one hundred nine billion, four hundred fourteen million, five hundred twenty-eight thousand, eighty".