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2087108311680 = 27345738315017
BaseRepresentation
bin11110010111110001010…
…110010111101010000000
321101112012011111120110000
4132113301112113222000
5233143344211433210
64234445422240000
7303534326636310
oct36276126275200
97345164446400
102087108311680
1173515725a717
122985b4426000
13121a76265b72
14730336db440
153945555cac0
hex1e5f1597a80

2087108311680 has 640 divisors, whose sum is σ = 8541027348480. Its totient is φ = 475776073728.

The previous prime is 2087108311633. The next prime is 2087108311709. The reversal of 2087108311680 is 861138017802.

It is a happy number.

2087108311680 is a `hidden beast` number, since 208 + 71 + 0 + 8 + 311 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20871083116802 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138975532 + ... + 138990548.

It is an arithmetic number, because the mean of its divisors is an integer number (13345355232).

Almost surely, 22087108311680 is an apocalyptic number.

2087108311680 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 2087108311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270513674240).

2087108311680 is an abundant number, since it is smaller than the sum of its proper divisors (6453919036800).

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

2087108311680 is a wasteful number, since it uses less digits than its factorization.

2087108311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438 (or 15417 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 2087108311680 in words is "two trillion, eighty-seven billion, one hundred eight million, three hundred eleven thousand, six hundred eighty".