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2112863328 = 253231723143
BaseRepresentation
bin111110111101111…
…1011110001100000
312110020201120121100
41331323323301200
513311343111303
6545353554400
7103234020252
oct17573736140
95406646540
102112863328
11994724544
124ab715a00
13278972ab4
14160877cd2
15c57588a3
hex7defbc60

2112863328 has 72 divisors (see below), whose sum is σ = 6027669648. Its totient is φ = 702035712.

The previous prime is 2112863323. The next prime is 2112863381. The reversal of 2112863328 is 8233682112.

2112863328 is a `hidden beast` number, since 2 + 1 + 12 + 8 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112863292 and 2112863301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112863323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79725 + ... + 102867.

It is an arithmetic number, because the mean of its divisors is an integer number (83717634).

Almost surely, 22112863328 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 2112863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013834824).

2112863328 is an abundant number, since it is smaller than the sum of its proper divisors (3914806320).

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

2112863328 is a wasteful number, since it uses less digits than its factorization.

2112863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476 (or 23465 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2112863328 is about 45965.8930947719. The cubic root of 2112863328 is about 1283.1885285239.

The spelling of 2112863328 in words is "two billion, one hundred twelve million, eight hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2536 2853 3804 5072 5706 7608 10144 11412 15216 22824 23143 30432 45648 46286 69429 91296 92572 138858 185144 208287 277716 370288 416574 555432 740576 833148 1110864 1666296 2221728 3332592 6665184 7336331 14672662 22008993 29345324 44017986 58690648 66026979 88035972 117381296 132053958 176071944 234762592 264107916 352143888 528215832 704287776 1056431664 2112863328