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2105425152 = 28322367593
BaseRepresentation
bin111110101111110…
…0011110100000000
312102201201200100100
41331133203310000
513302442101102
6544530322400
7103113550515
oct17537436400
95381650310
102105425152
11990504096
124a9129400
1327726a2cc
1415d89d30c
15c4c89a1c
hex7d7e3d00

2105425152 has 216 divisors, whose sum is σ = 6439777344. Its totient is φ = 660160512.

The previous prime is 2105425117. The next prime is 2105425181. The reversal of 2105425152 is 2515245012.

2105425152 is a `hidden beast` number, since 2 + 105 + 42 + 515 + 2 = 666.

It is a super-3 number, since 3×21054251523 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3550168 + ... + 3550760.

It is an arithmetic number, because the mean of its divisors is an integer number (29813784).

Almost surely, 22105425152 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 2105425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219888672).

2105425152 is an abundant number, since it is smaller than the sum of its proper divisors (4334352192).

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

2105425152 is a wasteful number, since it uses less digits than its factorization.

2105425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 2105425152 is about 45884.9120299909. The cubic root of 2105425152 is about 1281.6809685737.

The spelling of 2105425152 in words is "two billion, one hundred five million, four hundred twenty-five thousand, one hundred fifty-two".