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1823212869696 = 263212724432
BaseRepresentation
bin11010100001111111111…
…101001001100001000000
320110022000211200010101100
4122201333331021201000
5214332414443312241
63513323351134400
7245502625456011
oct32417775114100
96408024603340
101823212869696
11643247152219
12255426374400
13102c0b44646a
146435b66d008
153265c8b59b6
hex1a87ff49840

1823212869696 has 189 divisors, whose sum is σ = 5279300504751. Its totient is φ = 601591221504.

The previous prime is 1823212869689. The next prime is 1823212869701. The reversal of 1823212869696 is 6969682123281.

The square root of 1823212869696 is 1350264.

It is a perfect power (a square), and thus also a powerful number.

1823212869696 is a `hidden beast` number, since 182 + 3 + 2 + 1 + 286 + 96 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4115604451 + ... + 4115604893.

Almost surely, 21823212869696 is an apocalyptic number.

1823212869696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1823212869696 is the 1350264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1823212869696

1823212869696 is an abundant number, since it is smaller than the sum of its proper divisors (3456087635055).

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

1823212869696 is an frugal number, since it uses more digits than its factorization.

1823212869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 575 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 1823212869696 in words is "one trillion, eight hundred twenty-three billion, two hundred twelve million, eight hundred sixty-nine thousand, six hundred ninety-six".