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2089450299600 = 24325219236121773
BaseRepresentation
bin11110011001111100111…
…100010110000011010000
321101202020101100212220100
4132121330330112003100
5233213143234041400
64235514043212400
7303646345335366
oct36317474260320
97352211325810
102089450299600
11736149249924
12298b48817100
1312205a51c631
14731b6779636
1539540e75100
hex1e67cf160d0

2089450299600 has 720 divisors, whose sum is σ = 8095392040320. Its totient is φ = 496610611200.

The previous prime is 2089450299569. The next prime is 2089450299631. The reversal of 2089450299600 is 69920549802.

It is a happy number.

2089450299600 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 4 + 5 + 0 + 29 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (2089450299569) and next prime (2089450299631).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95954314 + ... + 95976086.

It is an arithmetic number, because the mean of its divisors is an integer number (11243600056).

Almost surely, 22089450299600 is an apocalyptic number.

2089450299600 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 2089450299600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047696020160).

2089450299600 is an abundant number, since it is smaller than the sum of its proper divisors (6005941740720).

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

2089450299600 is a wasteful number, since it uses less digits than its factorization.

2089450299600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21900 (or 21886 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 2089450299600 in words is "two trillion, eighty-nine billion, four hundred fifty million, two hundred ninety-nine thousand, six hundred".