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2096858975040 = 2636540921977
BaseRepresentation
bin11110100000110110100…
…010001100101101000000
321102110100201002121000000
4132200312202030231000
5233323331344200130
64243141141000000
7304331056131264
oct36406642145500
97373321077000
102096858975040
11739300254395
1229a4759b3000
1312296b3b385b
14736ba6b80a4
15398265b8260
hex1e83688cb40

2096858975040 has 392 divisors, whose sum is σ = 7504938868680. Its totient is φ = 557769867264.

The previous prime is 2096858975039. The next prime is 2096858975041. The reversal of 2096858975040 is 405798586902.

2096858975040 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 8 + 589 + 7 + 5 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2096858975039) and next prime (2096858975041).

It can be written as a sum of positive squares in 4 ways, for example, as 570883002624 + 1525975972416 = 755568^2 + 1235304^2 .

It is a super-2 number, since 2×20968589750402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2096858975041) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 95400532 + ... + 95422508.

Almost surely, 22096858975040 is an apocalyptic number.

2096858975040 is a gapful number since it is divisible by the number (20) 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 2096858975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752469434340).

2096858975040 is an abundant number, since it is smaller than the sum of its proper divisors (5408079893640).

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

2096858975040 is an equidigital number, since it uses as much as digits as its factorization.

2096858975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22421 (or 22396 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2096858975040 in words is "two trillion, ninety-six billion, eight hundred fifty-eight million, nine hundred seventy-five thousand, forty".