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2096571140352 = 283313411274481
BaseRepresentation
bin11110100000100101011…
…000001100100100000000
321102102121122111002001000
4132200211120030210000
5233322234202442402
64243052415412000
7304320662440143
oct36404530144400
97372548432030
102096571140352
11739172829987
1229a3b5524000
13122923885080
147369039005a
153980b1adc1c
hex1e82560c900

2096571140352 has 576 divisors, whose sum is σ = 6895091589120. Its totient is φ = 624269721600.

The previous prime is 2096571140347. The next prime is 2096571140423. The reversal of 2096571140352 is 2530411756902.

2096571140352 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 571 + 1 + 40 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×20965711403522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2096571140298 and 2096571140307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467877952 + ... + 467882432.

It is an arithmetic number, because the mean of its divisors is an integer number (11970645120).

Almost surely, 22096571140352 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 2096571140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447545794560).

2096571140352 is an abundant number, since it is smaller than the sum of its proper divisors (4798520448768).

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

2096571140352 is a wasteful number, since it uses less digits than its factorization.

2096571140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2096571140352 in words is "two trillion, ninety-six billion, five hundred seventy-one million, one hundred forty thousand, three hundred fifty-two".