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2112408704952 = 2332713389828809
BaseRepresentation
bin11110101111010101010…
…111101101011110111000
321110221111101122201100200
4132233111113231132320
5234102203112024302
64254232133402200
7305421312505650
oct36572527553670
97427441581320
102112408704952
1174495a709647
122a1495499360
13124278aa7180
147435391b360
1539e367ba81c
hex1ebd55ed7b8

2112408704952 has 192 divisors, whose sum is σ = 7059472056000. Its totient is φ = 555685926912.

The previous prime is 2112408704947. The next prime is 2112408704969. The reversal of 2112408704952 is 2594078042112.

2112408704952 is a `hidden beast` number, since 2 + 112 + 40 + 8 + 7 + 0 + 495 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2112408704898 and 2112408704907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2134324 + ... + 2963132.

It is an arithmetic number, because the mean of its divisors is an integer number (36768083625).

Almost surely, 22112408704952 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 2112408704952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529736028000).

2112408704952 is an abundant number, since it is smaller than the sum of its proper divisors (4947063351048).

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

2112408704952 is a wasteful number, since it uses less digits than its factorization.

2112408704952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829230 (or 829223 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2112408704952 in words is "two trillion, one hundred twelve billion, four hundred eight million, seven hundred four thousand, nine hundred fifty-two".