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109094049792 = 21132713193337
BaseRepresentation
bin110010110011010000…
…0110001100000000000
3101102120221200221022200
41211212200301200000
53241411034043132
6122041144033200
710611311060130
oct1454640614000
9342527627280
10109094049792
11422a2824332
1219187462800
13a3978cc0b0
1453ccb58ac0
152c877e2d7c
hex1966831800

109094049792 has 576 divisors, whose sum is σ = 390961247040. Its totient is φ = 28538044416.

The previous prime is 109094049751. The next prime is 109094049839. The reversal of 109094049792 is 297940490901.

109094049792 is a `hidden beast` number, since 109 + 0 + 9 + 40 + 497 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323721048 + ... + 323721384.

It is an arithmetic number, because the mean of its divisors is an integer number (678752165).

Almost surely, 2109094049792 is an apocalyptic number.

109094049792 is a gapful number since it is divisible by the number (12) 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 109094049792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195480623520).

109094049792 is an abundant number, since it is smaller than the sum of its proper divisors (281867197248).

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

109094049792 is a wasteful number, since it uses less digits than its factorization.

109094049792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 109094049792 in words is "one hundred nine billion, ninety-four million, forty-nine thousand, seven hundred ninety-two".