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1089023316192 = 25337180063379
BaseRepresentation
bin11111101100011101101…
…10010001000011100000
310212002221220111110022000
433312032312101003200
5120320304432104232
62152142421044000
7141452004311640
oct17661666210340
93762856443260
101089023316192
1138a9412a8a89
12157087856600
137b9049555b6
143a9cd746520
151d4dbeba27c
hexfd8ed910e0

1089023316192 has 96 divisors (see below), whose sum is σ = 3630077740800. Its totient is φ = 311149517184.

The previous prime is 1089023316191. The next prime is 1089023316193. The reversal of 1089023316192 is 2916133209801.

It is a happy number.

1089023316192 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 0 + 23 + 3 + 1 + 619 + 2 = 666.

1089023316192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1089023316191) and next prime (1089023316193).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089023316191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90025642 + ... + 90037737.

It is an arithmetic number, because the mean of its divisors is an integer number (37813309800).

Almost surely, 21089023316192 is an apocalyptic number.

1089023316192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1089023316192 is an abundant number, since it is smaller than the sum of its proper divisors (2541054424608).

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

1089023316192 is a wasteful number, since it uses less digits than its factorization.

1089023316192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180063405 (or 180063391 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1089023316192 in words is "one trillion, eighty-nine billion, twenty-three million, three hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 180063379 360126758 540190137 720253516 1080380274 1260443653 1440507032 1620570411 2160760548 2520887306 2881014064 3241140822 3781330959 4321521096 4861711233 5041774612 5762028128 6482281644 7562661918 8643042192 9723422466 10083549224 11343992877 12964563288 15125323836 17286084384 19446844932 20167098448 22687985754 25929126576 30250647672 34031978631 38893689864 40334196896 45375971508 51858253152 60501295344 68063957262 77787379728 90751943016 121002590688 136127914524 155574759456 181503886032 272255829048 363007772064 544511658096 1089023316192