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2116632233016 = 233572233726111
BaseRepresentation
bin11110110011010001000…
…111001100010000111000
321111100101201222011200000
4132303101013030100320
5234134330322424031
64300211210313000
7305631056061600
oct36632107142070
97440351864600
102116632233016
11746727795804
122a2273a28760
1312479cb000c2
1474634819c00
153a0d24963e6
hex1ecd11cc438

2116632233016 has 576 divisors, whose sum is σ = 7411437895680. Its totient is φ = 562802929920.

The previous prime is 2116632232997. The next prime is 2116632233041. The reversal of 2116632233016 is 6103322366112.

2116632233016 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 632 + 2 + 3 + 3 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81049801 + ... + 81075911.

It is an arithmetic number, because the mean of its divisors is an integer number (12867079680).

Almost surely, 22116632233016 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 2116632233016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705718947840).

2116632233016 is an abundant number, since it is smaller than the sum of its proper divisors (5294805662664).

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

2116632233016 is a wasteful number, since it uses less digits than its factorization.

2116632233016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206 (or 26183 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 2116632233016 its reverse (6103322366112), we get a palindrome (8219954599128).

The spelling of 2116632233016 in words is "two trillion, one hundred sixteen billion, six hundred thirty-two million, two hundred thirty-three thousand, sixteen".