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109599921792 = 2732293280649
BaseRepresentation
bin110011000010010101…
…0100001011010000000
3101110220012120220020200
41212010222201122000
53243430034444132
6122203254405200
710626662651454
oct1460452413200
9343805526220
10109599921792
1142532331469
12192a8960800
13a44865bb3a
145439ddc664
152cb6e1ad7c
hex1984aa1680

109599921792 has 96 divisors (see below), whose sum is σ = 326260642500. Its totient is φ = 35273527296.

The previous prime is 109599921731. The next prime is 109599921811. The reversal of 109599921792 is 297129995901.

109599921792 is a `hidden beast` number, since 10 + 9 + 599 + 9 + 21 + 7 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106834844736 + 2765077056 = 326856^2 + 52584^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1606917 + ... + 1673732.

Almost surely, 2109599921792 is an apocalyptic number.

109599921792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109599921792 is an abundant number, since it is smaller than the sum of its proper divisors (216660720708).

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

109599921792 is a wasteful number, since it uses less digits than its factorization.

109599921792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280698 (or 3280683 counting only the distinct ones).

The product of its (nonzero) digits is 8266860, while the sum is 63.

The spelling of 109599921792 in words is "one hundred nine billion, five hundred ninety-nine million, nine hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 3280649 6561298 9841947 13122596 19683894 26245192 29525841 39367788 52490384 59051682 78735576 95138821 104980768 118103364 157471152 190277642 209961536 236206728 285416463 314942304 380555284 419923072 472413456 570832926 629884608 761110568 856249389 944826912 1141665852 1259769216 1522221136 1712498778 1889653824 2283331704 3044442272 3424997556 3779307648 4566663408 6088884544 6849995112 9133326816 12177769088 13699990224 18266653632 27399980448 36533307264 54799960896 109599921792