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2288125725952 = 28112531321037
BaseRepresentation
bin100001010010111110111…
…010111100110100000000
322002202001102020020221111
4201102332322330310000
5244442040141212302
64511052255133104
7324211613523553
oct41227672746400
98082042206844
102288125725952
11802430359260
1230b554814194
13137a002ab701
147ca6298069a
153e7bcea30d7
hex214beebcd00

2288125725952 has 72 divisors (see below), whose sum is σ = 4984507900512. Its totient is φ = 1039642982400.

The previous prime is 2288125725937. The next prime is 2288125726009. The reversal of 2288125725952 is 2595275218822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6966778 + ... + 7287814.

It is an arithmetic number, because the mean of its divisors is an integer number (69229276396).

Almost surely, 22288125725952 is an apocalyptic number.

2288125725952 is a gapful number since it is divisible by the number (22) 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 2288125725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492253950256).

2288125725952 is an abundant number, since it is smaller than the sum of its proper divisors (2696382174560).

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

2288125725952 is a wasteful number, since it uses less digits than its factorization.

2288125725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323595 (or 323581 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 58.

The spelling of 2288125725952 in words is "two trillion, two hundred eighty-eight billion, one hundred twenty-five million, seven hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2531 2816 5062 10124 20248 27841 40496 55682 80992 111364 161984 222728 321037 323968 445456 642074 647936 890912 1284148 1781824 2568296 3531407 3563648 5136592 7062814 7127296 10273184 14125628 20546368 28251256 41092736 56502512 82185472 113005024 226010048 452020096 812544647 904040192 1625089294 3250178588 6500357176 8937991117 13000714352 17875982234 26001428704 35751964468 52002857408 71503928936 104005714816 143007857872 208011429632 286015715744 572031431488 1144062862976 2288125725952