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109794364416 = 21032114389283
BaseRepresentation
bin110011001000001000…
…0010000110000000000
3101111101202110121101100
41212100100100300000
53244324324130131
6122234442134400
710634543461542
oct1462020206000
9344352417340
10109794364416
1142622069050
1219341ab1400
13a479a1b749
145457b75692
152cc90287e6
hex1990410c00

109794364416 has 528 divisors, whose sum is σ = 359133540480. Its totient is φ = 32018595840.

The previous prime is 109794364411. The next prime is 109794364441. The reversal of 109794364416 is 614463497901.

109794364416 is a `hidden beast` number, since 109 + 7 + 94 + 3 + 6 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (109794364411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387965811 + ... + 387966093.

It is an arithmetic number, because the mean of its divisors is an integer number (680177160).

Almost surely, 2109794364416 is an apocalyptic number.

109794364416 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 109794364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179566770240).

109794364416 is an abundant number, since it is smaller than the sum of its proper divisors (249339176064).

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

109794364416 is a wasteful number, since it uses less digits than its factorization.

109794364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 109794364416 in words is "one hundred nine billion, seven hundred ninety-four million, three hundred sixty-four thousand, four hundred sixteen".