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2117094532000 = 255371931241101
BaseRepresentation
bin11110110011101100101…
…010101110001110100000
321111101120221212101122121
4132303230222232032200
5234141302200011000
64300325123114024
7305645401414210
oct36635452561640
97441527771577
102117094532000
11746944741888
122a2382812914
13124844814bb6
1474679d9a240
153a10cd63b1a
hex1ececaae3a0

2117094532000 has 1152 divisors, whose sum is σ = 6689348789760. Its totient is φ = 642816000000.

The previous prime is 2117094531991. The next prime is 2117094532001. The reversal of 2117094532000 is 2354907112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117094532001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20961331950 + ... + 20961332050.

It is an arithmetic number, because the mean of its divisors is an integer number (5806726380).

Almost surely, 22117094532000 is an apocalyptic number.

2117094532000 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 2117094532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344674394880).

2117094532000 is an abundant number, since it is smaller than the sum of its proper divisors (4572254257760).

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

2117094532000 is a wasteful number, since it uses less digits than its factorization.

2117094532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 2117094532000 in words is "two trillion, one hundred seventeen billion, ninety-four million, five hundred thirty-two thousand".