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45378828096 = 2637211160019
BaseRepresentation
bin101010010000110010…
…011111011101000000
311100010112021022111220
4222100302133131000
51220413434444341
632502521435040
73164346450240
oct522062373500
9140115238456
1045378828096
1118277190218
12896533ba80
13438254ba94
1422a6ac1b20
1512a8d1da66
hexa90c9f740

45378828096 has 112 divisors (see below), whose sum is σ = 137868111360. Its totient is φ = 12903851520.

The previous prime is 45378828083. The next prime is 45378828101. The reversal of 45378828096 is 69082887354.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203575 + ... + 363593.

It is an arithmetic number, because the mean of its divisors is an integer number (1230965280).

Almost surely, 245378828096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45378828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68934055680).

45378828096 is an abundant number, since it is smaller than the sum of its proper divisors (92489283264).

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

45378828096 is a wasteful number, since it uses less digits than its factorization.

45378828096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160252 (or 160242 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 45378828096 in words is "forty-five billion, three hundred seventy-eight million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 211 224 336 422 448 633 672 844 1266 1344 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 13504 17724 20256 23632 35448 40512 47264 70896 94528 141792 160019 283584 320038 480057 640076 960114 1120133 1280152 1920228 2240266 2560304 3360399 3840456 4480532 5120608 6720798 7680912 8961064 10241216 13441596 15361824 17922128 26883192 30723648 33764009 35844256 53766384 67528018 71688512 101292027 107532768 135056036 202584054 215065536 236348063 270112072 405168108 472696126 540224144 709044189 810336216 945392252 1080448288 1418088378 1620672432 1890784504 2160896576 2836176756 3241344864 3781569008 5672353512 6482689728 7563138016 11344707024 15126276032 22689414048 45378828096